Polynomial Factoring Rules

Factor
k²+7x+10

• (k+2)(k+5)
• (k-2)(k-5)
• (k+10)(k+4)
• (k+2)(k-5)

What is the first step when factoring polynomials?

• Find the GCF
• List all the terms
• Make a triangle
• Write the answer

factor completely 
81m² - 1 

• not factorable
• (m-9)(m+9)
• 9m(9m-1)
• (9m-1)(9m+1)

Tags

CCSS.HSA.APR.C.4

Factor Completely:
x² - 36

• (x + 9)(x - 4)
• (x - 6)(x - 6)
• (x - 9)(x + 4)
• (x + 6)(x - 6)

Tags

CCSS.HSA.APR.C.4

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Factor completely:
16x² - 20xy

• 4 (4x² - 5xy)
• 4x (4x - 5y)
• 4x² (4 - 5y)
• 2(duck)

Factor completely:
4x²y - 12xy + 5y

• (2xy - 1) (2x - 5)
• prime
• y (2x - 1) (2x - 5)
• 4 (xy - 5) (x - 1)

Factor completely:
4x² - 121

• (2x + 11) (11 - 2x)
• (2x - 11) (2x - 11)
• (2x + 11) (2x + 11)
• (2x + 11) (2x - 11)

Tags

CCSS.HSA.APR.C.4

Factor:
10x + 15

• 100x + 150
• 10(x + 5)
• 1(10x + 15)
• 5(2x + 3)

Tags

CCSS.7.EE.A.1

Factor by GCF:
6x + 24

• 2(3x+12)
• 6(x+4)
• x(6+24)
• not factorable