Multiplying Polynomials Section 10 2 l Use the

Multiplying Polynomials Section 10. 2 l Use the distributive property, and remember your properties for exponents. 5 x (4 x 2 + 3 x) = 20 x 3 + 15 x 2

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

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

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

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

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

(x+7)(x+4)

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

Multiplying Polynomials l Use FOIL for two Binomials (x - 8) (x - 5)

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

Homework l Page 587, #18 -23, and #30 -35

ANSWER KEY

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

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

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