5.11 Multiplying Polynomials

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Presentation transcript:

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

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

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

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

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

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

(2x)(3x2 – 4x + 2) 6x3 +-8x2 +4x

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

(x+2) (x-2)

(3x-2)(3x-2)

Assignment Page 251 (2-50) even