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. (2x)(3x 2 – 4x + 2) 6x 3 +-8x 2 +4x

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

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

6. (2x + 3)(x 2 + 4x + 5) 2x 3 + 8x 2 + 10x 3x 2 + 12x + 15 2x 3 + 11x 2 + 22x + 15

7. (b 2 + 5)(b 2 + 3b – 4) Chart method b 4 + 3b 3 -4b 2 + 5b 2 + 15b+ - 20 b2b2 5 b2b2 3b -4 b4b4 5b 2 3b 3 15b -4b 2 -20 =b 4 + 3b 3 +b 2 +15b -20

8. (3x + 4y)(2x – 3y + 5) you choose your method 6x 2 +- xy +– 12y 2 + 15x + 20y

9. 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

10. Assignment Page 251 (2-50) even