Sec-41 - Math 1300 Section 4.1 Notes Greatest Common Factor and Factoring by Grouping(Review Factoring Definition A factor is a number variable monomial

Sec-41 - Math 1300 Section 4.1 Notes Greatest Common Factor...

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Math 1300 Section 4.1 Notes 1 Greatest Common Factor and Factoring by Grouping (Review) Factoring Definition: A factor is a number, variable, monomial, or polynomial which is multiplies by another number, variable, monomial, or polynomial to obtain a product. 1. List all the possible factors of the following numbers: a. 12 b. 32 c. 19 d. -45 In the above, the number 19 is an example of a ____________ number because its only positive factors are one and itself . (Review) Greatest Common Factor Definition: 2. Find the GCF (greatest common factor) of the following numbers:
Math 1300 Section 4.1 Notes 2 Greatest Common Factor of Polynomials In order to find the GCF of two or more monomials, I. Find the GCF of the coefficients; II. Find the GCF of the variables; III. Rewrite the GCF as a product of the GCF of the coefficients times the GCF of the variables. Examples: 1. Find the GCF of x4and x7 . x x . 4 .

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