Multistep Factoring

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor completely.

 $5x^2-13x+6$  

• (x + 3)(5x - 2)

• (x - 2)(5x - 3)

• (x + 2)(5x + 3)

• (x - 3)(5x + 2)

Factor completely.

6x² + 5x − 6

• 6(x + 1)(x − 6)

• (6x + 6)(x − 1)

• (2x − 3)(3x + 2)

• (3x − 2)(2x + 3)

Factor completely.
 $5x^2+20x+20$  

• 5(x+2)(x+2)

• 5(x-2)(x-2)

• 5(x+2)(x-2)

• (5x+2)(x+2)

Factor completely.
 $10x^2+34x-24$  

• (2x+8)(5x-3)

• 2(x+4)(5x-3)

• (x+4)(10x-6)

• (x+4)(5x-3)

Factor completely.
 $20x^2-44x+8$  

• 4(x-2)(5x-1)

• 4(x-1)(5x-2)

• (4x-8)(20x-4)

• (4x-8)(5x-1)

Factpr Completely
 $x^3-19x^2+90x$  

•  $-\left(x+9\right)\left(x-10\right)$  

•  $x\left(x+10\right)\left(x-9\right)$ 

•  $x\left(x-10\right)\left(x-9\right)$ 

•  $x\left(x+9\right)\left(x+10\right)$  

Factor completely.
 $6x^3-14x^2-12x$  

•  $2\left(x-3\right)\left(3x+2\right)$  

•  $\left(2x^2-3x\right)\left(3x+2\right)$  

•  $2x\left(x-3\right)\left(3x+2\right)$  

•  $2x\left(x-2\right)\left(3x+3\right)$  

 $1-x^4$  Factor completely.

•  $\left(1+x^2\right)\left(1-x^2\right)$  

•  $\left(1+x^2\right)\left(1+x\right)\left(1-x\right)$ 

•  $\left(1+x\right)\left(1+x\right)\left(1+x\right)\left(1-x\right)$  

•  $\left(1-x\right)\left(1-x\right)\left(1-x\right)\left(1-x\right)$  

Factor completely       $81\ -x^{12}$  

•  $\left(9+x^6\right)\left(9-x^6\right)$  

•  $\left(3+x^3\right)^2\left(3-x^3\right)^2$  

•  $\left(9+x^6\right)\left(3+x^3\right)\left(3-x^3\right)$  

•  $\left(3-x\right)\left(3-x\right)\left(3-x\right)\left(3-x\right)$