Monomials, Binomials and Polynomials

When dealing with differing kinds of Polynomials, there are several varieties. Today we will explore a few different variations, and break down the simple formula for naming them.

A monomial is the product of non-negative powers of variables. A monomial has no variables in its denominator and will only have one term.

For example: 13, 3x, -57, x², 4y², or -2xy

 

A binomial is the sum of two monomials and thus will have two unlike terms.

For example: 3x + 1, x² – 4x, 2x + y, or y – y²

 

A trinomial is the sum of three monomials, meaning it will be the sum of three unlike terms.

For example: x² + 2x + 1, 3x² + 4x – 10, 2x + 3y + 2

 

A polynomial is the sum of one or more terms.

For example: x² + 2x, 3x³ + x² + 5x + 6, 4x – 6y + 8

 

A good clue when trying to remember the meaning of these terms is the prefix on each word. In the word monomial, the prefix “mono” means one. In the word binomial, the prefix “bi” implies two. In the word trinomial, the prefix “tri” means three and in the word polynomial, the prefix “poly” means many.

Polynomials are in simplest form when they contain no similar terms. Similar terms are terms in the polynomial which are raised to the same power. For example, in the polynomial, 4x² + 4x – 3 + 3x², the terms 4x² and 3x² are similar terms. The simplified form of 4x² + 4x – 3 + 3x² is 7x² + 4x – 3. Another example of simplifying a polynomial would be: x² +2x +1 + 3x² – 4x is simplified to 4x² – 2x + 1.

Polynomials are generally written in descending order. For example the polynomial 4x² – 2x + 1 is written in descending order. In order for a polynomial to be in descending order the exponents of the variables decrease from left to right.

Tutors for Standardized Tests are available if you need more help.

This article was written for you by Mia, one of the tutors with SchoolTutoring Academy.

952 thoughts on “Monomials, Binomials and Polynomials”

  1. Pingback: hefalimp cardijon
  2. Pingback: tadalafil europe
  3. Pingback: online slots
  4. Pingback: apple products
  5. Pingback: dog bed
  6. Pingback: cialis 5 mg prezzo
  7. Pingback: real facebook fans
  8. Pingback: My Homepage
  9. Pingback: bitcoin casino
  10. Pingback: lawyer directory
  11. Pingback: sex
  12. Pingback: buy youtube likes
  13. Pingback: swissgear sa1923
  14. Pingback: e-cig
  15. Pingback: Sophia hills
  16. Pingback: dressing table
  17. Pingback: go here
  18. Pingback: Pension
  19. Pingback: testinate 250
  20. Pingback: Shaahin Cheyene
  21. Pingback: Bitcoin casino
  22. Pingback: dublin massage
  23. Pingback: roz tilefona
  24. Pingback: cialis milano
  25. Pingback: Sydney escorts
  26. Pingback: Knoxville
  27. Pingback: porn
  28. Pingback: cupboards
  29. Pingback: kitchen cupboards
  30. Pingback: hills home market
  31. Pingback: westwood reviews
  32. Pingback: Charles Floate
  33. Pingback: Flight Tickets
  34. Pingback: cupones
  35. Pingback: cult education
  36. Pingback: cialis e sport
  37. Pingback: read
  38. Pingback: mas aqui
  39. Pingback: this note
  40. Pingback: cheap ebikes
  41. Pingback: Viagra
  42. Pingback: 1-800-411-pain
  43. Pingback: dbz movie
  44. Pingback: Carey Martell
  45. Pingback: Empower Network
  46. Pingback: porn online
  47. Pingback: metatron
  48. Pingback: Software
  49. Pingback: Process Servers
  50. Pingback: Bakersfield CPR
  51. Pingback: youtube to mp4
  52. Pingback: salon hair secrets
  53. Pingback: singapore
  54. Pingback: werbung
  55. Pingback: Renewal
  56. Pingback: SM in CSE
  57. Pingback: houten gadgets
  58. Pingback: Dustin White
  59. Pingback: Photography apps
  60. Pingback: dealer en chicago
  61. Pingback: chicago used cars
  62. Pingback: legal highs uk
  63. Pingback: Assistir Filmes
  64. Pingback: vw sharan
  65. Pingback: autos for sale
  66. Pingback: sell candles
  67. Pingback: coupon
  68. Pingback: download app
  69. Pingback: Viagra Pill
  70. Pingback: Virus
  71. Pingback: Crystal Kirts
  72. Pingback: Teresia Osswald
  73. Pingback: viagra
  74. Pingback: argent
  75. Pingback: yoga hong kong
  76. Pingback: labor day 2015
  77. Pingback: skin facial
  78. Pingback: gordas en pasarela
  79. Pingback: bitcoin casino
  80. Pingback: presbicia grados
  81. Pingback: printing paper
  82. Pingback: Betboo
  83. Pingback: Coupons
  84. Pingback: microphones
  85. Pingback: health and beauty
  86. Pingback: kapalot
  87. Pingback: iphone6
  88. Pingback: list
  89. Pingback: nod32 license key
  90. Pingback: Make Money
  91. Pingback: aggression in dogs
  92. Pingback: Bodyguards
  93. Pingback: Bloomfield Twp
  94. Pingback: Celebrity Gossip
  95. Pingback: SSL Certificates
  96. Pingback: Magnetic Materials
  97. Pingback: betting
  98. Pingback: Cialis
  99. Pingback: data recovery mac
  100. Pingback: dive
  101. Pingback: file recovery mac
  102. Pingback: extreme peptitides
  103. Pingback: caregivers
  104. Pingback: modere rewards
  105. Pingback: twerk gif
  106. Pingback: cheap viagra
  107. Pingback: cheap viagra
  108. Pingback: viagra online
  109. Pingback: sex
  110. Pingback: online jobs
  111. Pingback: leer m?s
  112. Pingback: putas tetonas
  113. Pingback: click aqu?
  114. Pingback: Anik Singal
  115. Pingback: hydrocodone online
  116. Pingback: oxycontin online
  117. Pingback: xenical online
  118. Pingback: cash for gold
  119. Pingback: repair company
  120. Pingback: buy tramadol
  121. Pingback: adderall xr
  122. Pingback: m88
  123. Pingback: inversé du 118000
  124. Pingback: lune de miel
  125. Pingback: notepad bluebox
  126. Pingback: CPCS Answers
  127. Pingback: webshop
  128. Pingback: porn
  129. Pingback: sex
  130. Pingback: cv writing service
  131. Pingback: tarot gratis
  132. Pingback: dead sea mud
  133. Pingback: openappmkt
  134. Pingback: Desmond Kuek
  135. Pingback: nascar ride
  136. Pingback: teen dating site
  137. Pingback: DIRTY ARMY
  138. Pingback: drive a nascar
  139. Pingback: kids kurti
  140. Pingback: toeic
  141. Pingback: Knoxville Plumber
  142. Pingback: wedding list
  143. Pingback: Porno
  144. Pingback: housing cardiff
  145. Pingback: yorktown sunroom
  146. Pingback: sunroom germantown
  147. Pingback: alexandria sunroom
  148. Pingback: yorktown sunroom
  149. Pingback: cheap rate
  150. Pingback: Womens Lingerie
  151. Pingback: largo sunroom
  152. Pingback: nether cheats
  153. Pingback: Free C#.NET Codes
  154. Pingback: buy ambien
  155. Pingback: buy tramadol
  156. Pingback: code promo
  157. Pingback: cialis
  158. Pingback: buy accutane
  159. Pingback: buy vicodin
  160. Pingback: buy ambien
  161. Pingback: advise
  162. Pingback: bookie
  163. Pingback: live xxxx
  164. Pingback: divorce mediation
  165. Pingback: fishing news
  166. Pingback: devenir riche
  167. Pingback: network
  168. Pingback: banana blue
  169. Pingback: payday loans
  170. Pingback: websites perth
  171. Pingback: Aspergers
  172. Pingback: Aspergers
  173. Pingback: Cialis
  174. Pingback: online pharmacy
  175. Pingback: seo service perth
  176. Pingback: Musician
  177. Pingback: perth web design
  178. Pingback: stock markets
  179. Pingback: zobacz tutaj
  180. Pingback: loyal 9 marketing
  181. Pingback: App Reviews
  182. Pingback: sexo
  183. Pingback: Spa party
  184. Pingback: food
  185. Pingback: playa culito
  186. Pingback: pre-reg questions
  187. Pingback: Brandy
  188. Pingback: plymouth bjj
  189. Pingback: cdz
  190. Pingback: house financing
  191. Pingback: landscaper
  192. Pingback: viagra
  193. Pingback: Norma
  194. Pingback: lose weight fast
  195. Pingback: Pomsky
  196. Pingback: code promo sarenza
  197. Pingback: n° de telephone
  198. Pingback: Call Center SIP
  199. Pingback: Learn hacking
  200. Pingback: Gambling
  201. Pingback: ofertas lima
  202. Pingback: spirulina sklep
  203. Pingback: Snipzilla
  204. Pingback: suplementy sklep
  205. Pingback: chat
  206. Pingback: blog 40+
  207. Pingback: iva
  208. Pingback: teachthetech
  209. Pingback: quick extender
  210. Pingback: Ivan Bedia Garcia
  211. Pingback: minecraft for free
  212. Pingback: kurtyny PCV
  213. Pingback: child images
  214. Pingback: free money
  215. Pingback: vending
  216. Pingback: pages blanches
  217. Pingback: orange beach condo
  218. Pingback: easy 100
  219. Pingback: cleaning company
  220. Pingback: ????? ????
  221. Pingback: feelings
  222. Pingback: videos
  223. Pingback: Guia de negocios
  224. Pingback: web design india
  225. Pingback: Livejasmin cheats
  226. Pingback: free money
  227. Pingback: sfi affiliate
  228. Pingback: watches for men
  229. Pingback: Marketing
  230. Pingback: online flashcards
  231. Pingback: Mikel Cooper
  232. Pingback: newport beach
  233. Pingback: uk seo
  234. Pingback: Wigs Denver
  235. Pingback: Hair Transplant
  236. Pingback: online flashcards
  237. Pingback: betboo
  238. Pingback: betboo
  239. Pingback: polecam
  240. Pingback: filtros de agua
  241. Pingback: superbahis
  242. Pingback: betboo
  243. Pingback: Cleaners Sydney
  244. Pingback: event videography
  245. Pingback: mtv vmas
  246. Pingback: web design dallas
  247. Pingback: Online Signature
  248. Pingback: online real estate
  249. Pingback: seamless gutters
  250. Pingback: betboo
  251. Pingback: drysol for hands
  252. Pingback: atms for hire
  253. Pingback: atm hire
  254. Pingback: guttering Surrey
  255. Pingback: sell business
  256. Pingback: accident claims
  257. Pingback: Aspergers Quiz
  258. Pingback: WP Profit Builder
  259. Pingback: milanuncios.com
  260. Pingback: gender of babies
  261. Pingback: bank owned homes
  262. Pingback: locksmith in Novi
  263. Pingback: cheap viagra
  264. Pingback: alaska fishing
  265. Pingback: check this
  266. Pingback: Exterior Painting
  267. Pingback: the plumbing cure
  268. Pingback: site here
  269. Pingback: wakeupnow
  270. Pingback: flying homes
  271. Pingback: M88A
  272. Pingback: maty grzewcze
  273. Pingback: Arts
  274. Pingback: legit reviews
  275. Pingback: poker strategies
  276. Pingback: indian astrology
  277. Pingback: factoring service
  278. Pingback: fifa 15 coin
  279. Pingback: check my blog
  280. Pingback: kangen water
  281. Pingback: larina igraonica
  282. Pingback: Julefrokost
  283. Pingback: Gate repair
  284. Pingback: loan
  285. Pingback: event space
  286. Pingback: design
  287. Pingback: panele z drewna
  288. Pingback: Sydney Laminate
  289. Pingback: download movies
  290. Pingback: Formula T10
  291. Pingback: porn
  292. Pingback: egg white
  293. Pingback: epic fails
  294. Pingback: IT Training
  295. Pingback: online casinos
  296. Pingback: casino forums
  297. Pingback: Club
  298. Pingback: central bank
  299. Pingback: homepage
  300. Pingback: trail gear
  301. Pingback: mls listings
  302. Pingback: Pressplay App
  303. Pingback: andalemexico
  304. Pingback: blog template
  305. Pingback: sex
  306. Pingback: Spam
  307. Pingback: Jeanette Aroyo
  308. Pingback: Flower Brooches
  309. Pingback: flights
  310. Pingback: escorts in mumbai
  311. Pingback: Gascondensateketel
  312. Pingback: webhotel erhverv
  313. Pingback: private proxy
  314. Pingback: product Reviews
  315. Pingback: online tamashebi
  316. Pingback: teen sex
  317. Pingback: seattle web design
  318. Pingback: Discount coupons
  319. Pingback: sixy video locakal
  320. Pingback: learn greek london
  321. Pingback: Artisanal Food
  322. Pingback: Bourbon
  323. Pingback: Online shopping
  324. Pingback: The Luxury Spot
  325. Pingback: chocolate eggs
  326. Pingback: funko toys
  327. Pingback: fake review
  328. Pingback: free online slots
  329. Pingback: water ionizer
  330. Pingback: online jobs
  331. Pingback: vimax porno
  332. Pingback: vimax zvacsenie
  333. Pingback: money back shop
  334. Pingback: vimax
  335. Pingback: link
  336. Pingback: perfect body
  337. Pingback: online flashcards
  338. Pingback: Cord Blood
  339. Pingback: atms for events
  340. Pingback: 8 bets10
  341. Pingback: rap beats for sale
  342. Pingback: mobile atms
  343. Pingback: Cord Blood banking
  344. Pingback: fake sunglasses
  345. Pingback: akron bail bonds
  346. Pingback: Celebrity Gossip
  347. Pingback: fake sunglasses
  348. Pingback: baby shower games
  349. Pingback: cannibalism
  350. Pingback: french revolution
  351. Pingback: grawerstwo lublin
  352. Pingback: Stitch a Photo
  353. Pingback: kliknij link
  354. Pingback: Shuttle
  355. Pingback: Actus téléphonie
  356. Pingback: Bikini
  357. Pingback: work from home
  358. Pingback: Binary
  359. Pingback: Tiffanie Craddock
  360. Pingback: madiba
  361. Pingback: omlat.net
  362. Pingback: my link
  363. Pingback: Florida
  364. Pingback: Ted Virtue
  365. Pingback: photodune free
  366. Pingback: zobacz oferte
  367. Pingback: mind power
  368. Pingback: jns
  369. Pingback: Celebrity Videos
  370. Pingback: buy google +1
  371. Pingback: Sonnenschutz
  372. Pingback: Scott kay
  373. Pingback: gopro duck hunting
  374. Pingback: lolita porn
  375. Pingback: PureMature
  376. Pingback: Best Binoculars
  377. Pingback: at&t
  378. Pingback: review here
  379. Pingback: seo
  380. Pingback: iphone unlock
  381. Pingback: Popular Diet Pills
  382. Pingback: dom opieki radom
  383. Pingback: slupy ogloszeniowe
  384. Pingback: plyty stropowe
  385. Pingback: formierka
  386. Pingback: tu-get
  387. Pingback: yeşil kahve
  388. Pingback: HEALTH and
  389. Pingback: useful content
  390. Pingback: Aikido Training
  391. Pingback: Web Design Ossett
  392. Pingback: 8chamberbubbler
  393. Pingback: wedding hankies
  394. Pingback: annuaire
  395. Pingback: bars in durham
  396. Pingback: Facebook
  397. Pingback: DIY
  398. Pingback: Pocket folders
  399. Pingback: Christmas Lights
  400. Pingback: WebForum
  401. Pingback: spy
  402. Pingback: Transfer
  403. Pingback: kangen water
  404. Pingback: HEALTH and BEAUTY
  405. Pingback: buying traffic
  406. Pingback: credit management
  407. Pingback: noglo
  408. Pingback: htc
  409. Pingback: online shopping
  410. Pingback: Recommended Site
  411. Pingback: code promo sarenza
  412. Pingback: video editing
  413. Pingback: xarelto lawyer
  414. Pingback: cialis
  415. Pingback: buy hydrocodone
  416. Pingback: hydrocodone online
  417. Pingback: Malpensa, Heathrow
  418. Pingback: game site dating
  419. Pingback: kraus sink
  420. Pingback: Vbulletin
  421. Pingback: Snapalicious
  422. Pingback: cheap pest control
  423. Pingback: windturbines
  424. Pingback: Click Here
  425. Pingback: Pueraria Mirifica
  426. Pingback: IT-Company
  427. Pingback: Azul Villa
  428. Pingback: melanotan
  429. Pingback: SUPPORT
  430. Pingback: Click Here
  431. Pingback: Ward 1 Vaughan
  432. Pingback: dating expert
  433. Pingback: witryna
  434. Pingback: whatsapp
  435. Pingback: zobacz tutaj
  436. Pingback: zobacz oferte
  437. Pingback: own boss
  438. Pingback: broken water main
  439. Pingback: PSN Blog
  440. Pingback: Hatem Elhagely
  441. Pingback: dating expert
  442. Pingback: DUI Lawyer
  443. Pingback: Hatem Elhagely
  444. Pingback: video to dvd
  445. Pingback: alcachofa de laon
  446. Pingback: svetlana Bilyanova
  447. Pingback: Ella Imison
  448. Pingback: our site
  449. Pingback: payday loans
  450. Pingback: acorn stairlifts
  451. Pingback: dr duke
  452. Pingback: gun oil
  453. Pingback: ps3 accessories
  454. Pingback: domestic violence
  455. Pingback: Buddy Nevins
  456. Pingback: fort max diet
  457. Pingback: Male Strippers
  458. Pingback: trifold printing
  459. Pingback: melanotan 2
  460. Pingback: gitar dersi
  461. Pingback: google
  462. Pingback: sunscreens Houston
  463. Pingback: Chalatai internetu
  464. Pingback: Zahnarzt Ungarn
  465. Pingback: cheap cialis
  466. Pingback: superbahis
  467. Pingback: Free Porn
  468. Pingback: Dating Love
  469. Pingback: scam
  470. Pingback: How To Relax
  471. Pingback: free gold maps
  472. Pingback: Amish Wood Milk
  473. Pingback: young teen sluts
  474. Pingback: Wrap Bracelet
  475. Pingback: camere
  476. Pingback: porn
  477. Pingback: Rape videos
  478. Pingback: Hardcore porn
  479. Pingback: nether bot
  480. Pingback: camera
  481. Pingback: warez
  482. Pingback: lenceria sexy
  483. Pingback: Romance eBooks
  484. Pingback: ask fm hack
  485. Pingback: ask fm hack
  486. Pingback: Movers
  487. Pingback: Hard Japanese Sex
  488. Pingback: Mca scam review
  489. Pingback: Tie dye T shirt uk
  490. Pingback: Gain Value in Home
  491. Pingback: mary clip art
  492. Pingback: cheap developer
  493. Pingback: repair credit
  494. Pingback: fowllowme
  495. Pingback: more info
  496. Pingback: radarandlaserforum
  497. Pingback: orthovela
  498. Pingback: make money
  499. Pingback: Orlando SEO
  500. Pingback: sexy-angels
  501. Pingback: sexy-angels
  502. Pingback: Bail
  503. Pingback: steve
  504. Pingback: blogshop
  505. Pingback: peixoto swim
  506. Pingback: cialis
  507. Pingback: Read More
  508. Pingback: inverted book
  509. Pingback: Underwater housing
  510. Pingback: Underwater housing
  511. Pingback: salsa 300
  512. Pingback: car loans
  513. Pingback: Spyhunter
  514. Pingback: Porno.
  515. Pingback: Porno.
  516. Pingback: my lead system pro
  517. Pingback: Porno.
  518. Pingback: cymbal mutes
  519. Pingback: Alpharetta plumber
  520. Pingback: 420waterpipe
  521. Pingback: Poker88
  522. Pingback: buy viagra online
  523. Pingback: gigs
  524. Pingback: viagra
  525. Pingback: dog waste bags
  526. Pingback: escorts bangkok
  527. Pingback: local locksmith
  528. Pingback: degage
  529. Pingback: sofort abnehmen
  530. Pingback: loans
  531. Pingback: short url.com
  532. Pingback: std testing
  533. Pingback: unblock myspace
  534. Pingback: yellow october
  535. Pingback: Sonnencreme
  536. Pingback: water ionizer
  537. Pingback: Arvind Pandit
  538. Pingback: water ionizer
  539. Pingback: make money
  540. Pingback: artist brushes
  541. Pingback: MAKE MONEY ONLINE
  542. Pingback: internet service
  543. Pingback: esta
  544. Pingback: Lasik San Diego
  545. Pingback: Lasik San Diego
  546. Pingback: Best Keylogger
  547. Pingback: anal viagra
  548. Pingback: Davinci Slate
  549. Pingback: pr ajansı
  550. Pingback: website
  551. Pingback: ????????????????
  552. Pingback: mandai foodlink
  553. Pingback: depilacja olsztyn
  554. Pingback: get a credit card
  555. Pingback: telephone services
  556. Pingback: loans
  557. Pingback: escort vienna
  558. Pingback: süperbahis
  559. Pingback: escort vienna,
  560. Pingback: escort vienna,
  561. Pingback: David Pogorelc
  562. Pingback: Buy Ayahuasca
  563. Pingback: CAR LOAN
  564. Pingback: Celebrity Pictures
  565. Pingback: sleep mask
  566. Pingback: Celebrity Pictures
  567. Pingback: foreclose homes
  568. Pingback: escort vienna,
  569. Pingback: vienna call girl
  570. Pingback: travel mask
  571. Pingback: IT Services

Comments are closed.