1. 5.6
Dividing Polynomials

2. Dividing Polynomials To Divide a Polynomial by a Monomial
Divide each term of the polynomial separately by the monomial.

3. Example
Divide:

4. Dividing Polynomials
To divide a polynomial by a polynomial other than a monomial, we use a process known as long division. Polynomial long division is similar to number long division, which we review on the next slide.

5. Dividing Polynomials
As you can see from the previous example, there is a pattern in the long division technique.
Divide
Multiply
Subtract
Bring down
Then repeat these steps until you can’t bring down or divide any longer.
We will incorporate this same repeated technique with dividing polynomials.

6. Dividing Polynomials

7. Dividing Polynomials
Notice that the division process is continued until the degree of the remainder polynomial is less than the degree of the divisor polynomial.

8. Dividing Polynomials 8 6 4 7 2 + - x .