# Worksheet: Number and Type of Roots of a Polynomial

In this worksheet, we will practice determining the possible number and types of real roots using Descartes's rule of signs and the fundamental theorem of algebra.

**Q1: **

Is a factor of given that ?

- Ayes
- Bno

**Q2: **

Is a factor of given that ?

- Ano
- Byes

**Q4: **

How many roots does the polynomial have?

**Q5: **

Find, by factoring, the zeros of the function .

- A
- B
- C
- D
- E

**Q6: **

Which of the following lists contain all the roots of ?

- A
- B
- C
- D

**Q7: **

Which of the following are roots of ?

- A , and
- B6, and
- C4, and
- D , and
- E4, and 7