Multiplying Polynomials

Use the distributive property, and remember your properties for exponents.

5x (4x2 + 3x) = 20x3 + 15x2

Section 10.2

Use the distributive property, and remember your properties for exponents.

3x (10x2 + x)

-7x (2x4 + 4x3)

3x2 (5x5 + 7x4 + 2x3 + 9x)

Use the distributive property, and remember your properties for exponents.

¼ x (16x3 + 28x)

Use the distributive property, and remember your properties for exponents.

½ x2 (24x4 + 8x3 + 10x2)

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 PolynomialsUse FOIL for two Binomials

(x + 8) (x + 6)

Multiplying PolynomialsUse 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) (3x2 + 7x + 4) Similar to using FOIL

Multiply 5x by each term in the 2nd polynomial15x3 + 35x2 + 20x

Then multiply 6 by each term in the 2nd polynomial.18x2 + 42x + 24Then combine the like terms and put in order:15x3 + 53x2 + 62x + 24

Multiplying Polynomials

(2x – 4)(3x2 + 9x + 6)

Multiplying Polynomials

(5x + 3)(2x2 + 4x - 7)

Multiplying Polynomials

(x2 +2x + 1)(x2 +4x + 3)