Test Review: Factoring and Solving Polynomials

Factor Completely:

x² - 17x + 72

• (x - 9)(x + 8)

• (x - 9)(x - 8)

• x(x - 3)

• (x + 9)(x + 8)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely:

x⁴ - 9x²

• x²(x + 3)(x - 3)

• (x² + 3x)(x² - 3x)

• (x² + 9)(x - 3)(x + 3)

• x²(x² - 9)

Tags

CCSS.HSA.APR.C.4

Factor Completely: 5x² - 11x + 6

• (5x + 6)(x - 1)

• (5x - 6)(x - 1)

• (2x - 7)(x - 3)

• (5x - 6)(x + 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:

9m² + 30mn + 25n²

• (3m + 5n)²

• (3m - 5n)²

• (3m + n)²

• (m + 5n)²

Tags

CCSS.HSA.APR.C.4

Solve the equation by factoring:

n²+11n +30 = 0

• x = -6, -5

• x = 6, 5

• x = 2, 15

• x = -2, -15

Tags

CCSS.HSA-REI.B.4B

Factor: x² - 169 

• ( x - 13) ( x + 13) 
• ( x + 13) ( x + 13) 
• ( x - 13) ( x -13) 
• x - 13x + 13

Tags

CCSS.HSA.APR.C.4

Solve b²+25b=0

• b= 0 and b = 25

• b= 0 and b= -25

• b= -5 and b= 5

• b=5 an b=-2.5

What is the vertex of the equation

 $y=\left(x+7\right)^2+3$  

• (7, 3)

• (7, -3)

• (-7, 3)

• (-7, -3)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex?
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of this quadratic?

• y ≥ 3

• y ≤ 3

• ℝ

• y ≤ 2

Tags

CCSS.HSF-IF.C.7A