Easy Algebra Step-by-Step

Multiplying Polynomials 97

Problem Find the product.

a. 2 () 5

b. x()xx

c. − 8 ab^353 () 2 aa^22222 − 777 − 3

d. x^24 ()xxx^4444 xxx^33336 x

Solution

a. 2 () 5

Step 1. Multiply each term of the polynomial by the monomial.

2 ()x 5

= (^22) x ⋅ 5
= (^21) x 0
b. x()xx
Step 1. Multiply each term of the polynomial by the monomial.
x() 32 xx
= (^) xx 32 xx−xx⋅
= 32 xx^22
c. − 8 ab^353 () 2 aa^22222 − 777 − 3
Step 1. Multiply each term of the polynomial by
the monomial.
− 8 ab^353 ()( − −
= (^) ()− )()( ))−(()(− )))))(()(((( )−()(− )(()
= −+ 16 ab^55556 ab^474 + 24 ab^353
d. x^24 ()xxx^4444 xxx^33336 x
Step 1. Multiply each term of the polynomial by the monomial.
x^24 () 24 xx^4444 xxx^3333636 x
= xx^242 xx^44 xxx^2324 x −xx^223 xx xx^26
= 24 x^65444 xxxx^5 − 3636326
Be careful! Watch your exponents
when you are multiplying
polynomials by monomials.