1. Objective: SSBAT multiply polynomial expressions.
Teacher Copy (Magnani)
Algebra 3
Lesson 2.1
Objective: SSBAT multiply polynomial expressions.
Standards: M11.D.2.2.1

2.  When multiplying like bases you ADD the exponents
Teacher Copy (Magnani)
 When multiplying like bases you ADD the exponents

3. Examples: Multiply each.
3x(x3 – 7x2 + 8x – 2)
x3(5x2 – 12x + 8)
= 5x5 – 12x4 + 8x3

4. 3. (x + 2)(x – 3)

5. (2x + 9)(3x – 5)

6. (5x – 7)(5x + 7)

7. 6. (3x2 – 5)(4x2 – 2)
= 12x4 – 6x2 – 20x2 + 10
= 12x4 – 26x2 + 10

8. 7. (m2 – 5n2)(2m2 + 3n2)

9. (x – 1)(2x + 3)

10. x(x – 5)(x – 4)

11. 10. (x + 2)(x2 – 5x + 8)

12. 11. (x – 3)(2x2 + x – 9) = 2x3 + x2 – 9x – 6x2 – 3x + 27
Teacher Copy (Magnani)
11. (x – 3)(2x2 + x – 9)
= 2x3 + x2 – 9x – 6x2 – 3x + 27
= 2x3 – 5x2 – 12x + 27

13. 12. (x – 4)2

14. 13. Find the Area of a Rectangle whose width is (x + 7)
13. Find the Area of a Rectangle whose width is (x + 7) units and length is (x2 – 2x + 11) units.

15. 14. Which has a greater Area, a square with a side
14. Which has a greater Area, a square with a side that is (x + 3) units long or a Rectangle with a width of x units and a length of (x + 6) units?

16. Quadratic Equation
An equation of the form, ax2 + bx + c = 0
There is an exponent of 2 and that is the highest exponent
Examples: 5x2 – 3x + 8 = 0
9x2 – 7 = 0
-5x2 = 0

17. Determine if each of the following is a Quadratic Equation or not
Determine if each of the following is a Quadratic Equation or not. (you may need to simplify first)
5x3 – 6x2 – 3x + 18 = 0
8 – 7x + 12x2 = 0

18. (x – 2)(x + 8) = 0

19. -15x2 – 12 = 0
7x – (15x + 6x2) + 6x2 = 0

20. Homework
Worksheet 2.1