1. Chapter 8
Quadratics

2. 8.1.1 How can I find the product?
Introduction to Factoring Quadratics
Goal: Find the product given a sum.
Standard: A‑SSE.3a. Factor a quadratic expression to reveal the zeros of the function it defines.

3. Use a generic rectangle to multiply (6x – 1)(3x + 2)
Use a generic rectangle to multiply (6x – 1)(3x + 2). Compare your answer with your team.

4. Find the sum and the product for the following generic rectangle.

5. Find the sum and the product for the following generic rectangle.

6. Find the sum and the product for the following generic rectangle.

7. While working on the problems on the previous slides, Casey noticed a pattern with the diagonals of each generic rectangle. However, just before she shared her pattern with the rest of her team, she was called out of class! The drawing on her paper looked like the diagram below. Can you figure out what the two diagonals have in common?

8. word picture definition
factoring
18x2 + 9x – 2 =
(6x – 1)(3x + 2)
the process of changing a sum to a product
factors
each expression being multiplied
18x2 + 9x – 2
an expression of the form ax2 + bx + c
if a is not 0

9. word picture definition
15xy2
an expression with one term
16m3 - 25
an expression with two terms
x2 - 15x + 26
an expression with three terms

10. Find the sum and the product for the following generic rectangle.

11. Challenge! Find the sum and the product for the following generic rectangle.