1. Multiplying Polynomials Use the distributive property, and remember your properties for exponents. 5x (4x 2 + 3x) = 20x 3 + 15x 2 Section 10.2

2. Use the distributive property, and remember your properties for exponents. 3x (10x 2 + x)

3. -7x (2x 4 + 4x 3 )

4. 3x 2 (5x 5 + 7x 4 + 2x 3 + 9x)

5. Use the distributive property, and remember your properties for exponents. ¼ x (16x 3 + 28x)

6. Use the distributive property, and remember your properties for exponents. ½ x 2 (24x 4 + 8x 3 + 10x 2 )

7. FOIL method - Used for multiplying 2 binomials F-first times first O-outer times outer I-inner times inner L-last times last (x+3)(x+2)

8. FOIL method - Used for multiplying 2 binomials F-first times first O-outer times outer I-inner times inner L-last times last (x+7)(x+4)

9. Multiplying Polynomials Use FOIL for two Binomials (x + 8) (x + 6)

10. Multiplying Polynomials Use FOIL for two Binomials (x + 4) (x - 7)

11. Multiplying Polynomials Use FOIL for two Binomials (x + 7) (x - 3)

12. Multiplying Polynomials Use FOIL for two Binomials (3x + 3) (2x - 4)

18. ANSWER KEY

22. Multiplying Larger Polynomials (5x + 6) (3x 2 + 7x + 4) Similar to using FOIL Multiply 5x by each term in the 2 nd polynomial 15x 3 + 35x 2 + 20x Then multiply 6 by each term in the 2 nd polynomial. 18x 2 + 42x + 24 Then combine the like terms and put in order: 15x 3 + 53x 2 + 62x + 24

23. Multiplying Polynomials (2x – 4)(3x 2 + 9x + 6)

24. Multiplying Polynomials (5x + 3)(2x 2 + 4x - 7)

26. Multiplying Polynomials (x 2 +2x + 1)(x 2 +4x + 3)