1 / 8

Algebra

Algebra. 11.7 Dividing Polynomials. Dividing a Polynomial by a Monomial. Divide 9x² + 12x – 18 by 3x. 3. 4. 9x² + 12x – 18. 12x. 6. 9x². 18. =. +. -. 3x. 1. 3x. 1. 3x. 1. 3x. 6. =. 3x + 4 -. x. 1. Divide out common factors. Numbers first. Variables next.

crete
Télécharger la présentation

Algebra

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Algebra 11.7 Dividing Polynomials

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

  3. Long Division with Numbers The algorithm now seems simple. 2 3 28 658 Divide 658 by 28 Ask: how many 28’s in 65? About2 56 Multiply 2 x 28 and subtract from 65 98 Ask: how many 28’s in 98? About3 84 Multiply 3 x 28 and subtract from 98 14 Remainder is 14 14 Remainder Quotient: 23 + = 23½ 28 Divisor

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

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

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

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

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

More Related