Polynomial Functions Quiz Review

Select all the graphs which show even degree functions.

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The function shown has:

• Degree two with negative leading coefficient.

• Degree three with negative leading coefficient.

• Degree four with negative leading coefficient.

• Degree four with positive leading coefficient.

What are the linear terms of the polynomial function?

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

Tags

CCSS.HSA.APR.B.3

What are the zeros of the polynomial?

• X=5, x=-3(multiplicity of 2)
• x=-3, x=5(multiplicity of 2)
• x=3, x=-5
• x=5

Tags

CCSS.HSA.APR.B.3

Write the equation of the polynomial function
zeros: 0, -2, 4
degree: 5   
0 has a multiplicity of 3

• f(x) = x³(x-2)(x+4)
• f(x) = x³(x+2)(x-4)
• f(x) = x²(x-2)(x+4)
• f(x) = x²(x+2)(x-4)

Tags

CCSS.HSA.APR.B.3

The degree of the polynomial determines the number of roots.

• True
• False

Tags

CCSS.HSN.CN.C.9

Give the equation of the 4th degree polynomial with zeros: 1 with multiplicity 2 and i. 

• x² - 4x + 4
• x³ - 4x² + 4x +ix² -4ix + 4i
• x⁴ - 4x³ + 5x²-4x + 4
• x⁴ - 4x³ + 5x²-4x + 4i

Tags

CCSS.HSA.APR.B.3

Find all zeros for the polynomial function
Factor by grouping and then set = 0 to find zeros.
P(x) = x³ -3x²-5x+15

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

Tags

CCSS.HSF-IF.C.7C

Find a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11
• P(x) = x³-2x²+9x+18
• P(x) = x³+2x²+9x+18
• P(x) = x²-3ix+2x-6i

Tags

CCSS.HSA.APR.B.3

Describe the end behavior of
f(x) = 2x² + 6x⁵ + 10x

• Left side:  Rises
  Right side: Rises
• Left side: Falls
  Right side: Rises
• Left side:Rises
  Right side: Falls
• Left side: Falls
  Right side: Falls