Factoring Polynomials

What is the GCF of 24 and 54?

• 1

• 4

• 2

• 6

Which is the common factor of 12x and 27?

• x

• 3

• 12

• 9

Factor using GCF or monomial factoring: 2x + 18

• 2(x+9)

• 2(2x+9)

• 2(x+8)

• cannot be factored

What is the GCF of the terms below?
 $24x^3\ +\ 36x^2$  

• 8x

•  $12x^2$  

•  $12x^3$  

•  $6x^2$  

• 4x

 $x^2-9$  = ?

•  $\left(x+3\right)^2$  

•  $\left(x-3\right)^2$  

• (x+3)(x-3)

• 3(x-3)

 $x^2-16$  = ?

• (x+4)(x-4)

•  $\left(x+4\right)^2$  

• (x+8)(x-2)

• 4(x+4)

 $4x^2-25$  = ?

• (2x+5)(2x-5)

•  $\left(2x+5\right)^2$  

•  $\left(2x-5\right)^2$  

• 5(2x-5)

Complete the formula for  $a^3-b^3$  

 $\left(a^2+ab+b^2\right)$  multiplied to what?

• (a-b)

• (a+b)

•  $\left(a+b\right)^3$  

•  $a^3+b^3$  

Complete the formula for  $a^3+b^3$  

 $\left(a^2-ab+b^2\right)$  multiplied to what?

• (a-b)

• (a+b)

•  $\left(a+b\right)^3$  

•  $a^3+b^3$  

 $x^3+1$  

Factor

•  $\left(x+1\right)^3\$  

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

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

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