- Topics At a Glance
- Exponents
- Negative Exponents
- Fractional Exponents
- Irrational Exponents
- Variables as Exponents
- Defining Polynomials
- Degrees of a Polynomial
- Multivariable Polynomials
- Degrees of Multivariable Polynomials
- Special Kinds of Polynomials
**Evaluating Polynomials****Roots of a Polynomial**- Combining Polynomials
- Multiplying Polynomials
- Multiplication of a Monomial and a Polynomial
- Multiplication of Two Binomials
- Special Cases of Binomial Multiplication
- General Multiplication of Polynomials
- We'll Divide Polynomials Later!
- Factoring Polynomials
- The Greatest Common Factor
- Recognizing Products
- Trial and Error
- Factoring by Grouping
- Summary
- Introduction to Polynomial Equations
- Solving Polynomial Equations
- In the Real World
- I Like Abstract Stuff; Why Should I Care?
- How to Solve a Math Problem

The **roots** of a polynomial in *x* are the values of *x* that, when we evaluate the polynomial at those values, we find 0. Think of it this way: there are two "0"s in the word "root." Fine, they're actually "o"s, but we won't tell anybody if you don't.

The polynomial *x*^{2} - 9 is 0 when evaluated at *x* = 3 or *x* = -3.

This means 3 and -3 are the roots of the polynomial *x*^{2} – 9.

Exercise 1

Is -1 a root of the polynomial *x*^{3} - 7*x* + 6?

Exercise 2

Is -3 a root of the polynomial *x*^{3} - 7*x* + 6?

Exercise 3

Is 2 a root of the polynomial *x*^{3} - 7*x* + 6?