Factoring Part 2

What do we ALWAYS need to do first before factoring polynomials?

• Find the values of a, b and c

• Look for the value of the variables

• Factor the factors of c that the sum is b

• Look for the Greatest Common Factor

The pattern

 $x^3-y^3$  is called a/an _________.

• Difference of Two Squares

• Sum of Two Cubes

• Difference of Two Cubes

• Square of a Binomial

Factor completely $64x^6+y^6$ 

•  $\left(4x^2+y^2\right)\left(16x^4-4x^2y^2-y^4\right)$  

•  $\left(4x^2-y^2\right)\left(16x^4+4x^2y^2+y^4\right)$  

•  $\left(4x^2+y^2\right)\left(16x^4-4x^2y^2+y^4\right)$  

•  $\left(4x^2-y^2\right)\left(16x^4-4x^2y^2-y^4\right)$  

To use factoring the difference of two cubes, rewrite the expression  $m^6-n^6$  to  $\left(m^2\right)^3-$ _________. 

•  $\left(m^2\right)^3$  

•  $\left(m^3\right)^2$  

•  $2\left(m^3\right)^{ }$  

•  $3\left(m^2\right)^{ }$  

Which of the following is the complete factored form of $x^3y^9+1000$  

•  $\left(xy^3+10\right)\left(x^2y^6-10xy^3+100\right)$  

•  $\left(xy^{ }+10\right)\left(x^2y^2-10xy^{ }+100\right)$  

•  $\left(xy^3-10\right)\left(x^2y^6+10xy^3+100\right)$  

•  $\left(xy^3-10\right)\left(x^2y^6-20xy^3+100\right)$  

What is the GCF of the trinomial?

3x² - 9x -120

• 2

• 3

• 6

• 9

Factor 

 $k^2+7k+10$  .

•  $(k+2)(k-5)$  

•  $(k+2)(k+5)$  

•  $(k+10)(k+4)$  

•  $(k-2)(k-5)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

To factor

 $x^2+8x+15$  , find two factors of 15 whose sum is _____.

• 1

• 2

• 8

• 15

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor $x^2+9x-36$  

•  $(x+12)(x-3)$  

•  $(x+9)(x-4)$  

•  $(x-9)(x-4)$  

•  $(x-12)(x+3)$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely: $3a^2+4a+1$  

•  $(3a−1)(a−1)$  

•  $(3a+1)(a+1)$  

•  $(3a−1)(a+1)$  

• Prime