Review for Polynomials Test

Factor completely.

• (y² - 5) (y + 2)
• (y² + 5) (y - 2)
• (y² - 2) (y + 5)
• (y² + 2) (y - 5)

Factor completely.

• (n - 4) (n² + 16)
• (n - 4) (n² + 4n + 16)
• (n + 4) (n² - 4n + 16)
• (n - 4) (n² - 4n + 16)

Tags

CCSS.HSA.APR.C.4

Decide whether the function is a polynomial. If so, write it in standard form and state its degree, type, and leading coefficient.

• polynomial function; h(x) = -x⁴ -8x² +½x -10; degree: 4 (quartic), leading coefficient: -1
• not a polynomial function
• polynomial function; h(x) = -10 +½x -8x² -x⁴; degree: 1 (linear), leading coefficient: -10
• polynomial function; h(x) = -10 +½x -8x² -x⁴; degree: 4 (quartic), leading coefficient: -10

Describe the end behavior of the graph of the function.

• h(x) → ∞ as x → - ∞ and h(x) → - ∞ as x → ∞
• h(x) → - ∞ as x → - ∞ and h(x) → ∞ as x → ∞
• h(x) → - ∞ as x → - ∞ and h(x) → - ∞ as x → ∞
• h(x) → ∞ as x → - ∞ and h(x) → ∞ as x → ∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the product.

• 8x² +8x +10
• 16x³ +28x² +28x +16
• 16x³ +12x² +6x +16
• 16x³ +12x² +16

Tags

CCSS.HSA.APR.A.1

Divide using synthetic division OR long division.

• x³ -x² -9x +35
• x³ -x² -9x +36 - ¹/_x+4
• x³ +7x² +15x +347
• x³ +7x² +15x -36 + ³⁸³/_x+4

Solve the equation.

• b = 1 and b = 9
• b = -9 and b = -1
• b = -9, b = -1, and b = 0
• b = 0, b = 1, and b = 9

Tags

CCSS.HSA-REI.B.4B

Given x=5, x =-9, and x= -1...

which of the following is the correct equation in factored form?

• (x-5)(x+9)(x+1) = 0

• (x-5)(x-9)(x+1) = 0

• (x-5)(x+9)(x-1) = 0

• (x+5)(x-9)(x-1) = 0

State the zeros of the polynomial (include multiplicity):
f(x) = (x²+9)(x -1)³(2x + 5)

• -9, 1, -5
• -9, 1 (multiplicity of 3), -5
• ± 3i , 1 (multiplicity of 3), -5∕2
• ± 3i, 1, -5

Tags

CCSS.HSF-IF.C.7C

(x² + 9x + 18) ÷ (x + 3)

• x - 6
• x + 6 R(0)
• x - 3 + 2/(x + 3)
• x + 6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3