Polynomial Function Comprehensive Test

Describe the end behavior (arrows) for the function:

y = -6x³ - 2

• down and down

• down and up

• up and down

• up and up

What is the function of the following graph?

• -(x+4)²(x+1)

• -(x+1)² (x+4)

• (x+1)²(x+4)

• (x+4)(x+1)

What is the degree of the following graph?

• 3

• 4

• 5

• 6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

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

f(x)= x²(x – 2)³(x – 7)

Find and select each real zero and its multiplicity

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)
• 2 (Mult of 3), 7 (mult 1)
• 0, 2, 7
• 2 (mult of 2), 7 (mult of 3)

Tags

CCSS.HSF-IF.C.7C

Which root has even multiplicity?

• 1
• -4
• -1
• 2

Tags

CCSS.HSA.APR.B.3

What is the leading coefficient?

• Positive
• Negative
• Even
• Odd

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

List all possible rational zeros
f(x) = 3x⁵-5x²+x+6

• 1, 2, 3, 6, -1, -2, -3, -6
• 1/3,2/3,1,2,3,6,-1/3,-2/3,-1,-2,-3,-6
• 1/3,2/3,1,2,3,6

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

f(x) = x³ - 9x² - 45x - 27

Find the remaining zeros given that -3 is a zero of f(x).

• {-3, -6 ± 3√5}

• {-3, 6 ± 3√5}

• (-3, 3, 9}

• {-3, 0, 3}

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3