Review of Solving Polynomial Functions

Use Descartes Rule of Signs to determine the possible number of positive and negative real roots.

• 3 or 1 positive roots and 0 negative roots

• 4, 2, or 0 positive roots and 1 negative root

• 4, 2, or 0 positive roots and 0 negative roots

• 2 or 0 positive roots and 1 negative roots

Match the graph to the function

• f(x)= -x²+3x+2

• f(x) = -x³+2

• f(x) = x³+2

• f(x) = ⅓x⁴-5x²+2

What are the zeros for the given graph? Select all that apply.

What are the zeros of the given graph? Select all that apply.

What are the zeros of the given graph ? Choose all that apply.

Which one could be a representation of the equaiton of this graph?

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

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

How many real zeros does the polynomial function
P(x) = x³+2x²+9x+18 have?

• 0

• 1

• 2

• 3

How many negative zeros does the polynomial function
P(x) = x³+3x²-5x-15 have?

• 0

• 1

• 2

• 3