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Math Review of Strategies of Factoring Polynomials 150 150 Deborah

Math Review of Strategies of Factoring Polynomials

Overview As a general strategy for factoring polynomials, first check to see if there are any common factors.  If there are not, check for the number of terms.  If there are two terms, it may be a difference of squares.  If there are three terms, it may be a perfect square of a binomial, or…

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Math Review of Factoring More Polynomials 150 150 Deborah

Math Review of Factoring More Polynomials

Overview Not all polynomial expressions are of the form x2 +ax +b, where the leading coefficient is equal to 1.  Some polynomial expressions have a coefficient that is not equal to 1, and it must be factored also.  However, the FOIL method can still be used, with one extra step to find the first product.…

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English Review of Commas, Colons, and Semicolons 150 150 Deborah

English Review of Commas, Colons, and Semicolons

Overview Commas, colons, and semicolons are used within sentences as punctuation to separate clauses from one another.  They are not interchangeable, but may be related. Commas in Series Commas are used to separate words in a series, such as peas, beans, potatoes, and corn.  The series may be in single words or in separate short…

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English Review of End Punctuation 150 150 Deborah

English Review of End Punctuation

Overview Complete sentences have end punctuation depending on their meaning.  Most sentences have periods, but some have question marks, and others have exclamation points. Types of Sentences Generally, there are four types of sentences:  declarative, interrogative, imperative, and exclamatory.  Declarative sentences make a point or present facts or opinions.  Interrogative sentences ask direct questions.  Imperative…

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Science Review of Seeds 150 150 Deborah

Science Review of Seeds

Overview In many types of seeds, the hard casing of the seed is surrounded by flesh called a fruit.  Many fruits are attractive to animals, providing food, so the seeds are dispersed that way.  Others are dispersed by wind and water.  Some seeds are dormant until the conditions are right for plants to grow, while…

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Science Review of Bubbles 150 150 Deborah

Science Review of Bubbles

Overview Bubbles are usually formed when a globule of gas is suspended in a liquid.  Some common examples include the bubbles of carbon dioxide found in carbonated drinks, water vapor in boiling water, and soap bubbles. Carbonated Water Bubbles form when very small air pockets are trapped in liquids.  For example, supersaturated carbon dioxide is…

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Math Review of Factoring Polynomials 150 150 Deborah

Math Review of Factoring Polynomials

Overview Factoring polynomial expressions is similar to factoring special polynomials.  The difference is that both elements do not have to be perfect squares.  It is the reverse of multiplying two binomials by using FOIL. Factoring Trinomials Trinomials of the form x2 +bx +c, when c>0 have certain aspects in common.  The coefficient of the squared…

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Math Review of Factoring Special Polynomials 150 150 Deborah

Math Review of Factoring Special Polynomials

Overview Factoring polynomials in general is the reverse process of multiplying them, and then finding common factors.  However, some polynomials follow special patterns, such as the difference of two squares and trinomial squares, leading to shortcut methods of factoring. Recognizing the Difference of Two Squares In order for a polynomial to be the difference of…

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English Review of Capitalization 150 150 Deborah

English Review of Capitalization

Overview Capitalization of particular words in English sentences follows a few basic rules.  However, it is easy to overlook capitalization when proofreading, since most of the time capitalization errors will not be caught by the spell-checker in the computer program. First Word of a Sentence The first word of a sentence is always capitalized.   Therefore,…

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English Review of Prepositions 150 150 Deborah

English Review of Prepositions

Overview A preposition is a part of speech that connects a noun or pronoun with a relationship in space, location, or time.  Some prepositions such as of, for, to, in, or, and on are the most common words in the English language.  When a preposition is used to describe the relationship, the noun becomes its…

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