Warm up

Solving Quadratics by factoring 4.3 Solving Quadratics by factoring

Factor Using GCF Example 1 a) 4p4 + 12p b) 18d6 – 6d2 + 3d c) –33x2 + 121

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

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

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

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

Factor Example 3 c) 2x 2 – 6x – 20

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.

Factoring when 𝒂≠𝟏 Example 4 a) 5x 2 + 34x + 24

Factoring when 𝒂≠𝟏 Example 4 b) 15x 3 - 65x2 + 20x

SOLVING

Example 5 Solve 5a2 – 20a = 0.

Example 6 Solve x 2 – 64 = 0.

Example 7 Solve x2 + 14x = -48

Example 8 Solve 6x 2 – 5x – 4 = 0.

Example 9

Example 10

Example 11