Download presentation

Presentation is loading. Please wait.

Published byGrace Phillips Modified over 9 years ago

1
4.8b SKM & PP 1 Division of Polynomials

2
4.8b SKM & PP 2 Division of Polynomials First, let’s review the symbols that represent the division problem: “a divided by b”

3
4.8b SKM & PP 3 How to Write: “Seventeen divided by five”

4
4.8b SKM & PP 4 Division of Polynomials Now let’s review the terminology for the parts of a division problem. Divisor Quotient Remainder Dividend Division Symbol

5
4.8b SKM & PP 5 Long Division Review the Terminology Divisor Quotient Remainder Dividend Division Symbol Equal Symbol “Seventeen divided by five”

6
4.8b SKM & PP 6 Long Division Divisor Quotient Remainder Dividend Division Symbol Equal Symbol “Seventeen divided by five”

7
4.8b SKM & PP 7 Long Division Divisor Quotient Fractional Remainder Dividend Division Symbol “Seventeen divided by five”

8
4.8b SKM & PP 8 12417 Long Division Study the steps! 34 36 57 48 9 3 4 9 12

9
4.8b SKM & PP 9 Polynomial Long Division: Steps The same steps are used to divide a polynomial by a binomial: 1. Divide 2. Multiply 3. Subtract 4. Bring Down

10
4.8b SKM & PP 10 x-2x2x2 - 13x+ 22 Example 1: Divide Multiply Subtract Bring Down + 22 Divide Multiply Subtract

11
4.8b SKM & PP 11 x- 11 x-2x2x2 - 13x+ 22 x2x2 - 2x -11x+ 22 -11x+ 22 0 Example 1: To check our answer, multiply the divisor and the quotient: (x - 2)(x - 11) = x 2 - 13x + 22

12
4.8b SKM & PP 12 3x-212x 2 + 13x- 14 Example 2: Divide Multiply Subtract Bring Down -14 Divide Multiply Subtract

13
4.8b SKM & PP 13 4x+ 7 3x-212x 2 + 13x- 14 12x 2 - 8x 21x- 14 21x- 14 0 Example 2: To check our answer, multiply the divisor and the quotient: (3x - 2)(4x + 7) = 12x 2 + 13x -14

14
4.8b SKM & PP 14 Example 3: -3 3x- 42x+1 6x 2 - 5x- 7 6x 2 + 3x -8x- 7 -8x- 4 - 3

15
4.8b SKM & PP 15 Example 3: -3 3x- 42x+1 6x 2 - 5x- 7 6x 2 + 3x -8x- 7 -8x- 4 - 3 Check: divisor times quotient plus remainder (2x+1)(3x-4) + (-3) = 6x 2 - 8x + 3x - 4 – 3 = 6x 2 - 5x -7

16
4.8b SKM & PP 16 x 2 + x+ 1 x-1x3x3 + 0x 2 + 0x 1 - 1 x3x3 - x 2 x 2 + 0x x 2 - x x- 1 x 0 Example 4: Remember to put in place holders for the missing powers of x.

17
4.8b SKM & PP 17 That’s All for Now!

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