Real Zeros of Polynomials

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

What are the zeros of the polynomial function?

y = (x + 2)(x - 7)³

• -2, 7 multiplicity 3

• -2, 7, 3

• 2, -7 multiplicity 3

• 2, -7, 3

Tags

CCSS.HSF-IF.C.7C

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

• {0 mult. 3, 5, 2}

• {−2 mult. 3, 3, 1}

• {0 mult. 3, 3, 2}

• {2 mult. 3, 3, 3}

Tags

CCSS.HSF-IF.C.7C

If x-2 is a factor of x^2+5x+7, then that means.....

• f(0) = 2

• f(0) = -2

• f(2) = 0

• f(-2) = 0

Tags

CCSS.HSA.APR.B.2

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

Tags

CCSS.HSA.APR.B.3

Write the polynomial with the given zeros

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3

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

Odd Multiplicities have which of the following effects on the x-axis?

• Cross the x-axis

• Tangent to the x-axis

The polynomial given by: y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ will have exactly how many zeroes?

• 5

• 2

• 9

• 8