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

2. Factoring Polynomials
The “Reverse” of Multiplying

3. 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)

4. 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)

5. 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)