1. 3.7 Divide Polynomials - + Divide a polynomial by a monomial = =
Example 1
Divide a polynomial by a monomial
Divide 10x3 - 25x2 + 15x by 5x.
Solution
Method 1: Write the division as a fraction. =
Write as a fraction. = - +
Divide each term by _____.
= _______________
Simplify.

2. 3.7 Divide Polynomials Divide a polynomial by a monomial
Example 1
Divide a polynomial by a monomial
Divide 10x3 - 25x2 + 15x by 5x.
Solution
Method 2: Use long division.
Think:
Think:
Think:

3. 3.7 Divide Polynomials + - =
Checkpoint. Complete the following exercises.
1. Divide (12x3 + 9x2 - 3x) by 3x. = + -

4. 3.7 Divide Polynomials Divide a polynomial by a binomial
Example 2
Divide a polynomial by a binomial
Divide 2x2 + 9x – 6 by 2x + 3.
Solution
First divide the first term of 2x2 + 9x – 6 by the first term of 2x + 3.
Multiply __ and _______.
Subtract _________.
Bring down ____.
Divide the first term of ______ by the first term of 2x + 3.
Multiply __ and _______.
Subtract _________.

5. 3.7
Divide Polynomials
Checkpoint. Divide.

6. 3.7
Divide Polynomials
Checkpoint. Divide.

7. 3.7 Divide Polynomials Insert missing terms
Example 3
Insert missing terms
Divide 4x2– 11 by – 3 + 2x.
Rewrite polynomials. Insert missing terms
Multiply __ and _______.
Subtract _________.
Bring down ____.
Multiply __ and _______.
Subtract _________.

8. 3.7
Divide Polynomials
Checkpoint. Divide.

9. 3.7
Divide Polynomials
Checkpoint. Divide.

10. 3.7
Divide Polynomials
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