Polynomial Zeros

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

• 6, 3, -3

• -6, 3, -3

• -6, 3i, -3i

• 6, 3i, -3i

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

A polynomial function with rational coefficients of degree 3 MUST have at least 1 rational zero.

• True

• False

What does multiplicity tell you about the behavior of the graph at the zero x=-2 in the previous problem:

• The graph crosses the x-axis at -2

• The graph has a turning point at -2

• It cannot be determined

How many zeros in total should this function have?

• 0

• 1

• 2

• 3

• x = 2

• x = -2

• x = 1

• x = -1

Use the zero, x = -2, and do synthetic division.
What is the resulting quadratic?

• Even

• Odd

• Neither