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

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Presentation transcript:

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

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

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

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

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

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

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)

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)

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

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

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

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

ANSWER KEY

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

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

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

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