Multiplying Polynomials

ExponentsRemember if you are multiplying numbers with the same base, then ADD the exponents together.

Examples: 2 3

4 6

x x

y y

5

10

x

y

We will learn how to multiply the following:

-A monomial and a polynomial

- A monomial by a monomial

- A monomial by a binomial

- A monomial by a trinomial

Multiplying a Monomial by a Monomial

)2)(4( 32 aa ))(24( 32 aa 58a

)5)(3( 25 ab ))(53( 25ab5225 1515 baab

Multiplying a Monomial and a Binomial

)32)(4( 2a 28a 12

Note that a (monomial)(binomial) = binomial(1)(2) = 2

Multiplying a Monomial and a Trinomial

)53)(2( 2 bbb 32b 26b

Note that a (monomial)(trinomial) = trinomial(1)(3) = 3

b10

Try the following:

A) 5m3(2m + 7)

B) – 2x4(3x2 + 2x – 5)

C) – 4y2(3y3 + 22y2 – 4y + 8)

A) 10m4 + 35m3

B) – 6x6 – 4x5 + 10x4

C) – 12y5 – 88y4 + 16y3 – 32y2