Pre-Calculus/Trig 3 Name __________________________________

Zeros of Polynomials Worksheet

Use the Rational Root Theorem and Descartes Rule of Signs to determine the zeros of the polynomial. Show all work on a separate piece of paper.

1.

2.

3.

4.

5.

6.

Given a root of the equation, find any remaining roots.

7. ; x = 3

8. ; x =

Write the equation of least degree given the roots.

9. x = 3, -1, and 5

10. x = -3 and x =

Pre-Calculus/Trig 3 Name __________________________________

Zeros of Polynomials Worksheet

Use the Rational Root Theorem and Descartes Rule of Signs to determine the zeros of the polynomial. Show all work on a separate piece of paper.

1.

2.

3.

4.

5.

6.

Given a root of the equation, find any remaining roots.

7. ; x = 3

8. ; x =

Write the equation of least degree given the roots.

9. x = 3, -1, and 5

10. x = -3 and x =