Simplify 2m( 3 2 m+1)+3( 5 3 m-2) A.)3m2+5m-1 B.) 3 4 m2+ 23 9 m-6 C.) 3m2+7m-6 D.) 3 4 m2+ 5 9 m-1.

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Presentation transcript:

Simplify 2m( 3 2 m+1)+3( 5 3 m-2) A.)3m2+5m-1 B.) 3 4 m2+ 23 9 m-6 C.) 3m2+7m-6 D.) 3 4 m2+ 5 9 m-1

Factoring Polynomials The “Reverse” of Multiplying

Step 1: Look For the GCF in the Coefficient and Divide Look to see if you can divide all coefficients by some number. Ex: 3x2-9x-33 Factors to 3(x2-3x-11) Ex: -24x3-8x2-12x-400 Factors to -4(6x3+2x2+3x+100)

Step 2: Look For the GCF in the Variables and Divide Look to see if you can divide all variable by some variable. Ex: x3-9x2-33x Factors to x(x2-9x-33) Ex: -x3-x2-12x Factors to -x(x2+x+12)

4x2+16x+8= 4(x2+4x+2) 6x2+18x-21=3(2x2+6x-7) x5+x4+x2-x=x(x4+x3+x-1) Examples 4x2+16x+8= 4(x2+4x+2) 6x2+18x-21=3(2x2+6x-7) x5+x4+x2-x=x(x4+x3+x-1) 5x4+25x2=5x2(x2+5)