Question: Main Ideas/Questions Notes/Examples Directions: Simplify the following polynomials. WARM-UP . a(3a+7) -2m(m2 +6m -1) = 4x y (x2 - 2y) WHAT is FACTORING? (Simplest Form)

Main Ideas/Questions Notes/Examples Directions: Simplify the following polynomials. WARM-UP . a(3a+7) -2m(m2 +6m -1) = 4x y (x2 - 2y) WHAT is FACTORING? (Simplest Form) (Factored Form) Polynomials that cannot be factored are called There are several factoring methods; the approach FACTORING depends on the polynomial. We will start by identifying and factoring out the greatest common factor (GCF) of the polynomial. A 9CF (Greatest Common Factor) Steps for Factoring a GCF: Step 1: Identify the GCF of the polynomial: . Check the coefficients for a GCF. Now look at the variables. A variable must be present in all terms to be a GCF. If a variable is present in all terms, take the one with the smallest exponent. Step 2: Divide each term by the GCF and leave the remaining factors in parentheses Step 3: Check your work by distributing! Directions: Factor each polynomial. Check your work by distributing. If a polynomial cannot be factored, write "prime." EXAMPLES 1. 3x + 12 2. 7y -7 3. 8m + 36n 4. 5x + 30y Gina Wilson (All Things Algebra, LLC), 2

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