Grouping and quadratic form

Fully Factor the Following
25x²-81

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

Tags

CCSS.HSA.APR.C.4

Factor:
x² - 30x + 225

• (x + 15)²
• (x - 15)²
• (x + 25)²
• (x - 25)²

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

What are the zeros of the function below?
(x - 6)(2x + 4) =0

• x = -6, x = -4
• x = 6, x = -2
• x = 4, x = 6, x =2
• cannot be determined

Tags

CCSS.HSF-IF.C.7C

Solve by quadratic formula
5x²-10x-40=0

• 4,-2
• (-5±√103)/12
• (-5±√337)/12
• 1±i√7

Use the quadratic formula to solve 2x² + 2x - 12?

• -2, 3
• 2, 3
• 2, -3
• -2, -3

Tags

CCSS.HSA-REI.B.4B

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

What is the factored form of x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Factor 6x²-27x

• (6x+1)(x+3)
• 3x(2x-9)
• 6x(x-9)
• (3x-9)(2x+3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve the following equation:
x⁴ - 6x² + 8 = 0

• 2, -2
• 2, -2, √2, 2i
• √2, -√2
• 2, -2, √2, -√2

Tags

CCSS.HSA-REI.B.4B