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9-18-13 Warm-Up

9-18-13 Warm-Up. 3x + 6x 2 – 10 + 9x 2 + 2x 5x 2 y + 3xy – 8x 2 y + 6xy (2x 2 )(-4x 3 ) 2(x + 4) 7(12 + 3x) – 10. 15x 2 + 5x - 10. -3x 2 y + 9xy. 3x 2. -8x 5. 2x + 8. 21x + 74. Homework Review. CCGPS Algebra Day 30 (9-18-13).

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9-18-13 Warm-Up

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  1. 9-18-13 Warm-Up • 3x + 6x2 – 10 + 9x2 + 2x • 5x2y + 3xy – 8x2y + 6xy • (2x2)(-4x3) • 2(x + 4) • 7(12 + 3x) – 10 15x2 + 5x - 10 -3x2y + 9xy 3x2 -8x5 2x + 8 21x + 74

  2. Homework Review

  3. CCGPS AlgebraDay 30 (9-18-13) UNIT QUESTION: In what ways can algebraic methods be used in problems solving? Standard: MCC9-12.N.RN.1-3, N.CN.1-3, A.APR.1 Today’s Question: What methods can we use to multiply polynomials? Standard: MCC9-12.A.APR.1

  4. Classifying Polynomials Objective: To classify polynomials by degree and by number of terms Example of a Polynomial Degrees Constant Coefficients

  5. Vocabulary Degree:is the exponent for each variable. Degree of the polynomial: is the largest exponent of the polynomial. Leading coefficient:is the coefficient of the first term. Descending order/Standard formis how polynomials are written where the terms are placed in descending order from largest degree to smallest.

  6. Example: Write the polynomials in Standard form/descending order. Then identify the leading coefficient and degree of the polynomial. 1. Degree is 7 Leading coefficient is 3 2. Degree is 4 leading coefficient is –2

  7. Classifying Polynomials By Degree Constant 0 6 -3 Linear 1 3x + 4 -7x + 2 Quadratic 2 Cubic 3 Quartic 4

  8. Classifying polynomials By # of terms Monomial 1 3x Binomial 2 3x + 1 Trinomial 3 Note: Any polynomials with four or more terms are just called polynomials

  9. Multiplying PolynomialsMonomial x Polynomial

  10. (5)(x + 6)

  11. (x2)(x + 6)

  12. (-2x)(x2 – 4x + 2)

  13. Multiplying PolynomialsBinomial x Binomial or Trinomial

  14. F f f Ff ff f Ff ff Genetics Punnett Squares are diagrams used by scientists to help them to figure out how inherited traits (characteristics) will be distributed. We will use something like a Punnett Square today to help us learn how to multiply polynomials!!

  15. Multiplying Polynomials Using the distributive property

  16. Notes - Multiplying Polynomials F - First O - Outside I – Inside L - Last (z + 5) (z + 3)

  17. (x - 2) (x + 4)

  18. (x + 9) (x – 3)

  19. (x + 3) (x – 3)

  20. (2x + 5)(x + 6)

  21. (3x – 1)(2x – 4)

  22. (5b – 6)(3b2 – 2b + 5)

  23. Find the area of the rectangle.

  24. Find the area of the rectangle.

  25. Find the volume.

  26. Practice Why is a stick of gum like a sneeze?

  27. HomeworkPractice Worksheet

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