Warm Up 1) Find the solution(s): 2)Find the vertex: f(x) = 2x 2 – 8x + 3

Quadratics: Solve by Factoring

WAYS TO SOLVE A QUADRATIC EQUATION ax² + bx + c = 0 There are many ways to solve a quadratic. The main ones are: –Graphing –Factoring –Quadratic formula

By Graphing By looking at the roots, we can get the solutions. Here, the solutions are -2 and 4. y = (x + 2)(x – 4)

Golden Rules of Factoring *Factor out GCF, if one 1)Difference of Squares: -x 2 – y 2 = (x + y)(x – y) 2)Easy (a=1) -make ac-b chart -write answer: (x + )(x + ) 3)Long (a>1) -make ac-b chart -split the middle term -factor by grouping

x² + 8x + 7 =0

4x x -12

4x 2 – 49

2x² + 13x + 6 =0

x x + 36 (x+3)(x+12)

x

x 2 – 49

2x² – 7x – 15 =0

3x 2 + 7x - 20 (x+4)(3x-5)

4x 2 + 5x – 6