Polynomial Roots

How many positive solutions does the following polynomial have?

f(x) =3x⁵ - x⁴ + 3x² - 6x +11

• 4, 2, or 0

• 4

• 3 or 1

• 3

A Polynomial of Degree 6 CAN have the following number of imaginary roots:

• 1

• 4

• 3

• 8

• 3 real positive, 2 real negative, 0 imaginary

• 0 real positive, 1 real negative, 4 imaginary

• 1 real positive, 2 real negative, 2 imaginary

• 1 real positive, 0 real negative, 4 imaginary

If (7x + 4) is a factor of some polynomial function, then 4/7 is a zero of the function.

• True

• False

Which best describes the multiplicity of a root?

• It is the number of times the corresponding factor is repeated

• It is the highest degree of the polynomial

• It is the number of times x is multiplied by itself

• It is the number of x-intercepts on a graph

• 0

• 4

• -9

• -15

Find the zeros of the polynomial given one factor. Use synthetic division.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

Solve by using Rational Root Theorem:

x³ - 7x - 6 = 0

• 1, 2, 3

• -1, -2, 3

• -1, -2, - 3

• 1,-2,-3

Find all zeros.

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Which x-value is a root of the function below?

• x = 3

• x = -3

• x = 4

• x = -4