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Two Similar Approaches

Name: Date: Period :. Topic : Multiplying Polynomials Essential Questions : How can you use the distributive property to solve for multiplying polynomials?. Two Similar Approaches. Basic Distributive Property FOIL. Home-Learning Review:. 1 st method: Basic Distributive Property.

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Two Similar Approaches

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  1. Name: Date: Period: Topic: Multiplying PolynomialsEssential Questions: How can you use the distributive property to solve for multiplying polynomials? Two Similar Approaches Basic Distributive Property FOIL

  2. Home-Learning Review:

  3. 1st method: Basic Distributive Property Example #1: 2x (5x + 8) Using the distributive property, multiply 2x(5x + 8) + 16x = 10x2 Example #2: -2x2 (3x2 – 7x + 10) = -6x4 + 14x3 – 20x2

  4. Can you make a connection from a previous lesson? What do you remember about multiplying monomials? What do you do with the coefficients? What about the exponents?

  5. Pair-Practice: 1) r (5r + r2) 2) 5y (-2y2 – 7y) 3) -cd2(3d + 2c2d – 4c)

  6. Simplifying 4(3d2 + 5d) – d(d2 -7d + 12) y(y- 12) + y(y + 2) + 25 = 2y (y + 5) - 5

  7. Pair-Practice: 4) 5n(2n3+ n2 + 8) + n(4 –n) 5) 2(4x – 7) = 5(-2x – 9) - 5

  8. What’s the GCF? 5x3 + 25x2 + 45x

  9. 2nd Method: FOIL The FOIL method is ONLY used when you multiply 2 binomials. It is an acronym and tells you which terms to multiply. 2) Use the FOIL method to multiply the following binomials:(y + 3)(y + 7).

  10. (y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial. 2nd Method: FOIL y2

  11. (y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial. y2+7y

  12. (y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial. y2 + 7y +3y

  13. (y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial. y2 + 7y + 3y + 21 Combine like terms. y2 + 10y + 21

  14. Remember, FOIL reminds you to multiply the: First terms Outer terms Inner terms Last terms

  15. Pair-Practice: 6) (7x – 4)(5x – 1) 7) (11a – 6b)(2a + 3b)

  16. Squaring a binomial (x + 5)2 What does this mean? How do I solve this type of Binomial?

  17. Pair-Practice: 8) (x – 3)2

  18. Challenge: (6x2 – 2) (3x2 + 2x + 4) (3x2 + 2x + 4) 6x2 – 2 (3x2 + 2x + 4)

  19. (3x2 – 4x + 4) (2x2 + 5x + 6) 3x2 (2x2 + 5x + 6) – 4x (2x2 + 5x + 6) (2x2 + 5x + 6) + 4

  20. Pair-Practice: 9) (8x2– 4) (2x2 + 2x + 6) 10) (7x2– 3x + 5) (x2 + 3x + 2)

  21. Important: • By learning to use the distributive property, you will be able to multiply any type of polynomials. • We need to remember to distribute each • term in the first set of parentheses through • the second set of parentheses.

  22. Time to work…independently. • – x3 (9x4 – 2x3 + 7) • (x+5)(x-7) • (2x+4)(2x-3) • (2x – 7)(3x2+x – 5) • (x – 4)2

  23. Additional Practice: Page 482 – 483 (1, 13, 14, 30) Page 489 – 490 (1, 3, 19, 38) Page 495 – 496 (2, 3, 16, 30, 49)

  24. HLA#2: Multiplying Polynomials Page 483 (33) Page 489 – 491 (2, 18, 51) Page 496 – 497 (42, 59)

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