1. Warm up

2. Solving Quadratics by factoring
4.3
Solving Quadratics by factoring

3. Factor Using GCF Example 1 a) 4p4 + 12p b) 18d6 – 6d2 + 3d
c) –33x

4. Factoring a difference of two squares
Pattern Example
a2 – b2 = (a + b)(a – b)
x2 – 9 = (x + 3)(x – 3)

5. Factoring a difference of two squares
Example 2 a) 4x 2 – 25 b) y 2 – 36

6. Standard Form:
is the quadratic equation in the form
ax2 + bx + c = 0

7. Factor using product sum
Example 3
a) x 2 – 2x – 15

8. Factor
Example 3
c) 2x 2 – 6x – 20

9. Slide and divide If a 1: ax2 + bx + c 1) Multiply a and c.
2) Rewrite in the form x2 + bx + (ac)
3) Factor using product sum
4) Divide by a
5) Reduce fractions
6) Bring the denominator in front of the x.

10. Factoring when 𝒂≠𝟏
Example 4 a) 5x x + 24

11. Factoring when 𝒂≠𝟏
Example 4 b) 15x x2 + 20x

12. SOLVING

13. Example 5
Solve 5a2 – 20a = 0.

14. Example 6
Solve x 2 – 64 = 0.

15. Example 7
Solve x2 + 14x = -48

16. Example 8
Solve 6x 2 – 5x – 4 = 0.

17. Example 9

18. Example 10

19. Example 11