Graphing Polynomials Practice

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

• 1
• 2
• 3
• 4

Which of the following could be the function 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)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Which of the following allows you to describe the end behavior of a polynomial?

• the degree and the constant
• the leading coefficient and the constant
• degree and the variable
• the degree and the leading coefficent

Determine the factor form if:
– 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4

• (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)

If a zero of a polynomial function has multiplicity of 4 that means:

• The x intercept is at (4, 0)
• The graph will "bounce" at that zero.

• The graph will "cross" at that zero.

Identify the possible degree and the sign of the leading coefficient.

• Leading Coefficient Positive

  Degree - 3

• Leading Coefficient Positive

  Degree - 4

• Leading Coefficient Negative

  Degree - 2

• Leading Coefficient Negative

  Degree - 5

The degree is (a)   . So, this polynomial can have ​ (b)   turning points.

• 2
• 1
• 0

Which graphs have a POSITIVE leading coefficient? (Check all that apply)

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Which graphs have an ODD degree? (Check all that apply)

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