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Multiplying Polynomials

Multiplying Polynomials. Binomial X Binomial. The problems will look like this:. (x – 4)(x + 9). Binomial X Binomial. Use the FOIL Method to find the product of two binomials. FOIL. F O I L i r S t. (x – 4)(x + 9). x 2. FOIL. F O I L u t s i

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Multiplying Polynomials

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  1. Multiplying Polynomials

  2. Binomial X Binomial The problems will look like this: (x – 4)(x + 9)

  3. Binomial X Binomial Use the FOIL Method to find the product of two binomials.

  4. FOIL F O I L i r S t (x – 4)(x + 9) x2

  5. FOIL F O I L u t s i d e (x – 4)(x + 9) x2 + 9x

  6. FOIL F O I L n s i d e (x – 4)(x + 9) x2 + 9x – 4x

  7. FOIL F O I L a s t (x – 4)(x + 9) x2 + 9x – 4x - 36

  8. FOIL x2 + 9x – 4x - 36 This is your answer, however, do you notice anything you can do to simplify this answer?

  9. FOIL x2 + 9x – 4x - 36 COMBINE LIKE TERMS! x2 + 5x - 36

  10. PRACTICE 1. (3m + 11)(5m – 2) 15m2 – 6m + 55m - 22 15m2 + 49m – 22 2. (4x2 – 3)(2x2 – 5) 8x4 – 20x2 - 6x2 + 15 8x4 – 26x2 + 15

  11. PRACTICE 3. (3a – 4b)(5a + 2b) 15a2 + 6ab - 20ab – 8b2 15a2 - 14ab – 8b2

  12. PRACTICE 4. (1/2x – 4)(2/4x + 2) 1/4x2 + 1x - 2x - 8 1/4x2 – 1x – 8

  13. PRACTICE 5. (4x2 – 3)(6x – 8) 24x3 – 32x2 – 18x + 24 *No like terms to combine!

  14. BINOMIAL X TRINOMIAL Use the distributive property to multiply: (2y + 5)(3y2 – 8y + 7)

  15. BINOMIAL X TRINOMIAL (2y + 5)(3y2 – 8y + 7) 6y3 - 16y2 + 14y ____________________________ 15y2 - 40y + 35 6y3 – 1y2 - 26y + 35

  16. PRACTICE 6. (2x + 3)(x2 + 3x + 8) 2x3 + 6x2 + 16x 3x2 + 9x + 24 2x3 + 9x2 + 25x + 24

  17. PRACTICE 7. (2b2 – 3)(3b3 – 2b + 3) 6b5 – 4b3 + 6b2 - 9b3 + 6b - 9 6b5 – 13b3 + 6b2 + 6b – 9

  18. PRACTICE 8. (2x + 4)(7x2 - 10x + 8) 7x2 - 10x + 8 (x) 2x + 4 28x2 – 40x + 32 14x3 – 20x2 + 16x_____ 14x3 + 8x2 – 24x + 32

  19. PRACTICE 9. (x3 + 4x – 5)(3x2 – 7x + 2) 3x5 – 7x4 + 2x3 12x3 – 28x2 + 8x - 15x2 + 35x - 10 3x5 – 7x4 + 14x3 – 43x2 + 43x – 10

  20. Binomial Squared (3x – 2)2

  21. PRACTICE 10. (4x2 – 10x – 3)(2x2 + 6x – 9) 4x2 – 10x – 3 (x) 2x2 + 6x – 9 -36x2 + 90x + 27 24x3 – 60x2 –18x 8x4 –20x3 - 6x2____________ 8x4 + 4x3 – 102x2 + 72x + 27

  22. THE END

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