Factoring Mixed Practice

Factor: x³ + 11x² + 10x

• (x+1) (x+10)

• x(x+1) (x+10)

• (x²+1) (x+10)

• PRIME

Factor: 4x²-16x-9

• (2x-9)(2x+1)
• (2x+9)(2x-1)
• (4x-1)(x+9)
• (x+1)(4x-9)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 3x²-17x+10

• (x-5)(3x-2)
• (x+5)(3x+2)
• (3x-5)(x-2)
• (x+5)(3x-2)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
81m² - 1 

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

Tags

CCSS.HSA.SSE.A.2

What is the first step when factoring polynomials?

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

Which binomials are a difference (subtraction) of two squares?
I. 6a²-25
II. 4x²+16
III. b²-9
IV. 49y²-64

• I only
• III only
• III and IV
• II, III, and IV

Tags

CCSS.HSA.SSE.A.2

 $Factor\ \ \ \ \ \ \left(x^{3^{\ }}\ +\ a^3\right)$  

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

• ( x - a ) (  $x^2\$  + ax + $a^2$  )

• ( x - a ) (  $x^2\$  + 2ax + $a^2$  )

• ( x  +a ) (  $x^2\$  - ax - $a^2$  )

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

x² - 16

• Prime
• ( x - 4) ( x + 4) 
• ( x - 8) ( x + 8) 
• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4