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Lesson #4 Binomial Division Polynomials

Lesson #4 Binomial Division Polynomials. Recall from elementary school… long division. Answer. 5. 7. 3. 22. 7861.  Dividend. -. 66. Divisor . 12. 6. 110. 16. 1. 154.  Remainder. 7. Division can also be done with polynomial expressions instead of numbers. eg . 1.

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Lesson #4 Binomial Division Polynomials

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  1. Lesson #4 Binomial Division Polynomials

  2. Recall from elementary school… long division. Answer 5 7 3 22 7861  Dividend - 66 Divisor 12 6 110 16 1 154  Remainder 7

  3. Division can also be done with polynomial expressions instead of numbers. eg. 1 play by play x + 2 1. divide x2 by x gives x x+2 x2 + 4x + 4 2. multiply x by 2 gives 2x x2 - + 2x 3. subtract and bring down the 4 + 4 2x 0 2x - + 4 4. divide 2x by x gives 2 0 5. multiply 2 by 2 gives 4 6. subtract and get remainder Check answer (x+2) (x+2) = x2 + 2x +2x + 4 = x2 + 4x + 4

  4. eg. 2 play by play x + 2 1. divide x2 by x gives x x+3 x2 + 5x + 6 2. multiply x by 3 gives 3x x2 - + 3x 3. subtract and bring down the 6 + 6 2x 0 2x - + 6 4. divide 2x by x gives 2 0 5. Multiply 3 by 2 gives 6 6. subtract and get remainder Check answer (x+3) (x+2) = x2 + 3x +2x + 6 = x2 + 5x + 6

  5. eg. 4 eg. 3 - 2 x - 4 2x x +2 x2 – 0x - 4 2x+3 4x2 - 2x - 10 + 2x x2 - +6x 4x2 - - 2x - 4 0 - 8x - 10 0 - - 2x - 4 - - 8x - 12 0 2 Check answer Check (2x - 4) + 2 (2x+3) (x - 2) (x+2) + 6x - 12 + 2 = 4x2 - 8x - 4 + 2x = x2 - 2x = x2 -2x - 10 = x2 - 4 Can also be written as = 2x – 4 + 2 2x+3

  6. Homework Binomial Division Handout Quiz Polynomials Tomorrow

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