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5.11 Multiplying Polynomials

5.11 Multiplying Polynomials. Goal: Multiply any two polynomials. To Multiply Polynomials……. Multiply each term of one polynomial by every term of the other, then add the results You may either use arrows or the chart to multiply. (2x 2 + 5)(3x 2 – 4x + 2). 6x 4. -8x 3. +4x 2.

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5.11 Multiplying Polynomials

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  1. 5.11 Multiplying Polynomials • Goal: Multiply any two polynomials

  2. To Multiply Polynomials……. Multiply each term of one polynomial by every term of the other, then add the results You may either use arrows or the chart to multiply

  3. (2x2 + 5)(3x2 – 4x + 2) 6x4 -8x3 +4x2 -20x +10 +15x2 6x4 – 8x3 + 19x2 –20x +10

  4. (b2 + 5)(b2 + 3b – 4)Chart method b2 5 b2 b4 5b2 15b 3b 3b3 -20 -4 -4b2 b4 + 3b3-4b2 + 5b2 + 15b+ - 20 =b4 + 3b3 +b2 +15b -20

  5. (2x + 3)(x2 + 4x + 5) 2x3 + 8x2 + 10x 3x2 + 12x + 15 2x3 + 11x2 + 22x + 15

  6. (3x + 4y)(2x – 3y + 5)you choose your method 6x2 +- xy +– 12y2 + 15x + 20y

  7. Rules for Multiplying Polynomials A polynomial and a monomial: • Distribute the mono by the poly Two binomials • (A +B) (A+B) = (A+B) ² = A² +2AB +B² • (A- B) (A-B) = (A –B)² = A² -2AB +B² • (A-B) (A+B) = (A² -B²) • Any two terms you may FOIL or use a chart Any two polynomials: • Multiply each term of one poly by the other poly

  8. (2x)(3x2 – 4x + 2) 6x3 +-8x2 +4x

  9. (2x + 3)(4x + 2) 8x2 +4x +12x + 6 8x2 + 16x + 6

  10. (x+2) (x-2)

  11. (3x-2)(3x-2)

  12. AssignmentPage 251(2-50) even

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