1. Multiplying Polynomials

2. Exponents
Remember if you are multiplying numbers with the same base, then ADD the exponents together. Examples:

3. We will learn how to multiply the following:   -A monomial and a polynomial -A binomial and a binomial -A binomial and a trinomial -A trinomial and a trinomial *Always write your answers in standard form!  

4. Multiplying a Monomial by a Monomial

5. Multiplying a Monomial and a Binomial
Note that a (monomial)(binomial) = binomial
(1)(2) = 2

6. Multiplying a Monomial and a Trinomial
Note that a (monomial)(trinomial) = trinomial
(1)(3) = 3

7. 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

8. Multiplying Two Binomials
Note that a
(binomial)(binomial) = 4-nomial
(2)(2) = 4

9. Multiplying Two Binomials
Combine like terms
Note that a (binomial)(binomial) = 4-nomial
(2)(2) = 4

10. Try the following: A) (4x + 3)(2x + 1) B) (3k - 2)(2k + 1)
C) (m + 5)(3m - 4)
A) 8x2 + 4x + 6x + 3 = 8x2 + 10x + 3
B) 6k2 + 3k - 4k - 2 = 6k2 - k - 2
C) 3m2 - 4m + 15m - 20 = 3m2 + 11m - 20