A polynomial is a monomial or the sum of monomials.\u00a0 For example, 2x2<\/sup> +3x is a polynomial that is formed by the sum of the monomials 2x2<\/sup> and 3x.\u00a0 Similarly, a polynomial such as x2<\/sup>-4x3<\/sup> +32x +16, is formed by 4 separate monomials, x2<\/sup>, -4x3<\/sup>, 32x, and 16.\u00a0\u00a0 An expression such as 3y2<\/sup> + 9y, 10x \u2013 3, or 3a6<\/sup>-9a3<\/sup>, is also called a binomial because it contains two terms.\u00a0 Similarly, an expression such as 2x2<\/sup>-5x-16 is also called a trinomial because it contains three terms.\u00a0 A constant such as 16 can be thought to contain x0<\/sup>, because any variable with a zero exponent equals 1.<\/p>\n The degree of a polynomial is the degree of the term in that polynomial with the highest exponent.\u00a0 In an expression such as x2<\/sup> \u2013 7x3<\/sup> +94x +124, the degree is 3, because the highest exponent is in the term -7x3<\/sup>.\u00a0 Similarly, in the expression 18 \u2013 12b9<\/sup>, the degree is 9, because the highest exponent is 9.\u00a0 In an expression such as 16x-5, the degree is 1, because 16x has an exponent of 1.\u00a0 By convention, x1<\/sup> is the same thing as x.\u00a0 We generally leave out an exponent of 1.<\/p>\n When writing polynomial expressions in standard form, the term with the highest degree is written first, then the next highest degree, then the next highest to that, all the way to the constants.\u00a0 Therefore, an expression such as 20x-9x3<\/sup> + 2 +18x2<\/sup> can be rearranged in standard form as -9x3<\/sup> + 18x2<\/sup> +20x +2, as -9x3<\/sup> has degree 3 , 18x2<\/sup> has degree 2, 20x has degree 1, and 2 has degree 0.\u00a0 The coefficient -9 in the term -9x3<\/sup> is often called the leading coefficient, as it is the coefficient of the highest degree term and \u201cleads\u201d the polynomial when it is rearranged in standard form.\u00a0 If the polynomial were x2<\/sup> +2x +3, the leading coefficient would be 1.\u00a0 When there is no constant beside a variable in a monomial it is understood to be 1, as 1 times x2<\/sup> is still x2<\/sup>, using the multiplicative identity.<\/p>\n Interested in math tutoring services<\/a>? Learn more about how we are assisting thousands of students each academic year.<\/p>\n SchoolTutoring Academy<\/span> is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Moncton, NB: visit:\u00a0 Tutoring in Moncton, NB<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Overview Polynomials contain variables, constants, and exponents.\u00a0 The simplest polynomial is called a monomial, as a monomial consists of a single expression. Other polynomials are a sum of monomials. Monomials A monomial expression can consist of a constant, variable, and exponent, all multiplied together.\u00a0 The variable is not in the denominator of the expression, such […]<\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2],"tags":[467,1145,1359],"class_list":["post-8833","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-degree-of-a-polynomial","tag-monomial","tag-polynomial"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/8833","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=8833"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/8833\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=8833"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=8833"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=8833"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2016\/01\/monomials.png\")
<\/a><\/p>\nPolynomials<\/h3>\n
<\/a><\/p>\nDegree of a Polynomial<\/h3>\n
Standard Form<\/h3>\n
<\/a><\/p>\n