1. Warm-Up 5 minutes Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)
2) (8rs – 2r2s3 – 5rs4) + (6r2s3 – 3r3s2 - 4rs)
3) (6x4 + 3x3 – 2x) – (3x4 – x3 + 4)
4) (7x3y2 – 4x2y + 5) – (2x2y + 3x3y2 – 4xy – 3)

2. Multiplication of Monomials and Binomials
Objectives:
Students will multiply a monomial and a polynomial & multiply two binomials by applying exponent rules.
Why? So you can solve real world problems.
Mastery is 80% or better on 5-minute checks and indy work.

3. Example 1
Multiply.
3a(6b + 7)
= (3a)(6b)
+ (3a)(7)
= 18ab
+ 21a

4. Example 2 Multiply. 2x(3x2 + x + 4) = (2x)(3x2) + (2x)(x) + (2x)(4)

5. Practice Multiply. 1) 4x(2x + 4) 2) 3a2(-5a3 + 2a – 7)
3) 5s(8t4 – 4s2 – 9t – 11)

6. FOIL Example 3 Multiply. (x + 2)(x + 3) u t s i d e i n s d e a s t ir s t
= (x)(x) +
(x)(3) +
(2)(x) +
(2)(3)
= x2 +
3x + 2x
+ 6
= x2 + 5x + 6

7. Example 4 Multiply. (3x + 2)(x + 5) = (3x)(x) + (3x)(5) + (2)(x) +
(2)(5)
= 3x2 + 15x + 2x + 10
= 3x2 + 17x + 10

8. Example 5 Multiply. (4ab + 3)(2a2b + 1) = (4ab)(2a2b) + (4ab)(1) +
(3)(1)
= 8a3b2 +
4ab +
6a2b + 3

9. Practice Multiply. 1) (x + 3)(x + 4) 2) (x + 3)(x – 5)
2) (x + 3)(x – 5)
3) (2x + 1)(x + 4)

10. Practice Multiply. 4) (2x2 – 3)(x – 2) 5) (6x2 + 5)(2x3 + 1)
5) (6x2 + 5)(2x3 + 1)
6) (2xy + 4x)(-2y + y2)

11. Homework
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