Polynomials Review

How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1
• 2
• 3
• 4

Identify the zeros:

• x=-2, x=-1, x=0
• x=-2, x=0
• x=-1, x=0, x=2
• x=-2, x=0, x=1

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

• Positive Odd
• Positive Even
• Negative Odd
• Negative Even

Determine the y-intercept 
f(x) = x³ - 5x² - 25x + 125

• (0,0)
• (0,25)
• (0,125)
• (0,5)

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x+4)(x+1)(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)

• 2
• 1
• 4
• cannot be determined

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

CCSS.HSA.APR.B.2

Which of the following could be the equation of the graph in factored form?

• y= -(x+1)(x-2)(x-4)

• y=(x+1)²(x-2)

  (x-4)³

• y = x(x+1)(x-2)

  (x-4)

• y=(x+1)³(x-3)

  (x-1)²

What is the end-behavior of the function

y = -x³ + 6x² + 7x

• Up/Down

• Down/Up

• Up/Up

• Down/Down

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4
Degree: 7

• (x + 5)³(x - 9)²
  (x + 2)(x - 4)
• (x + 5)³(x - 9)²
  (x + 2)⁷(x - 4)⁷
• (x + 5)³(x - 9)²(x + 2)
• (x + 5)(x - 9)(x + 2)
  (x - 4)