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

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

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

3. (x + 2)(x – 3)

4. (2x + 9)(3x – 5)

5. (5x – 7)(5x + 7)

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

7. (m2 – 5n2)(2m2 + 3n2)

8. 5(x – 1)(2x + 3)

9. 3x(x – 5)(x – 4)

10. (x + 2)(x2 – 5x + 8)

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

12. (x – 4)2

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.

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?

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

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

(x – 2)(x + 8) = 0

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

Homework Worksheet 2.1