Download presentation

Presentation is loading. Please wait.

Published byEdgar Holmes Modified over 8 years ago

1
Algebra 11.7 Dividing Polynomials

2
9x² 3x 18 3x 12x 3x Dividing a Polynomial by a Monomial Divide 9x² + 12x – 18 by 3x 9x² + 12x – 18 3x =+- 3 11 4 1 6 1. Divide out common factors. Numbers first. Variables next. 2. Rewrite in simplified form. =3x + 4 - 6 x

3
28 Long Division with Numbers The algorithm now seems simple. 65828 Divide 658 by 28 Ask: how many 28’s in 65? About 2 2 Multiply 2 x 28 and subtract from 65 56 98 Ask: how many 28’s in 98?About 3 3 Multiply 3 x 28 and subtract from 98 84 14 Remainder is 14 Quotient: 23 + 14 Remainder Divisor = 23½

4
x + 3 Polynomial Long Division Polynomial long division uses the same process as with numbers. It is used to divide a polynomial by a binomial. 3x² + 7x - 12 x + 3 Divide 3x² + 7x – 12 by x + 3 Ask: how many x’s in 3x²? 3x Multiply 3x by x + 3 and subtract 3x² + 9x -2x - 12 Ask: how many x’s in -2x?-2 Multiply -2 by x + 3 and subtract -2x - 6 -6 Remainder is -6 Quotient: 3x - 2 -6 Remainder Divisor Change signs when subtracting! +

5
Let’s try one together. x² - 3x + 5 x + 2 Divide x²- 3x + 5 by x + 2 Ask: how many x’s in x²? x x Multiply x by x + 2 and subtract x² + 2x -5x + 5 Ask: how many x’s in -5x?-5 Multiply -5 by x + 2 and subtract -5x - 10 15 Remainder is 15 Quotient: Change signs when subtracting!

6
You try. x² + 2x + 4 x - 1 Divide x²+ 2x + 4 by x - 1 Ask: how many x’s in x²? x x Multiply x by x - 1 and subtract x² - x 3x + 4 Ask: how many x’s in 3x?3 + 3 Multiply 3 by x - 1 and subtract 3x - 3 7 Remainder is 7 Quotient: Change signs when subtracting!

7
Adding a Place-holding ZERO. 6x² + 0x - 11 x + 2 Divide 6x²- 11 by x + 2 Ask: how many x’s in 6x²? 6x Multiply 6x by x + 2 and subtract 6x² +12x -12x - 11 Ask: how many x’s in -12x?-12 Multiply -12 by x + 2 and subtract -12x -24 13 Remainder is 13 Quotient: Change signs when subtracting! Insert a place-holding 0x

8
Homework pg. 687 #15-21 odd #27-45 odd

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google