Number and Types of Polynomial Roots

Find the polynomial equation with given zeros.

• x³-x²+4x+4

• x³+x²+4x+4

• x³-x²-4x+4

• x³+x²+4x-4

Determine the number and type of the solutions.

x² - 2x + 3 = 0

• 1 Real solution

• 2 Real solutions

• 1 non-real solution

• 2 non-real solutions

Determine the linear factor according to the given graph. Assume the function has degree 2.

• (x + 1)²

• (x + 2)²

• (x - 1)²

• (x - 2)²

The function above has ___ REAL zeros.

If x = -5 is a root of the polynomial, what is a factor of the polynomial.

• 5x

• -5x

• x + 5

• x - 5

Find ALL zeros

• A

• B

• C

• D

Based on the shape of the graph, which root is there twice?

• -1

• 2

• 4

• -4

All imaginary and irrational roots comes in pairs.

• True

• False

Describe the number and types of roots of the function above.

• 2 real roots (no repeats)

• 2 real roots ( 1 unique with multiplicity 2)

• 2 complex roots (no repeats)

• Not enough information

State the zeros of the polynomial (include multiplicity):
f(x) = (x²+9)(x -1)³(2x + 5)

• -9, 1, -5

• -9, 1 (multiplicity of 3), -5

• ± 3i , 1 (multiplicity of 3), -5∕2

• ± 3i, 1, -5