1. BM 9: Solving Quadratic Equations

2. What is on the benchmark tomorrow?

3. WAYS TO SOLVE A QUADRATIC EQUATION ax² + bx + c = 0 Must be in standard form, =0 Methods: – Graphing – Factoring – Quadratic formula

4. By Graphing By looking at the roots, we can get the solutions. x = -2, 4 f(x) = x 2 – 2x – 8 Line of Symmetry (to find vertex):

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

6. Solving a Quadratic Equation by Factoring 1)Factor completely. 2)Use the ZPP: set each factor with a variable equal to zero 3) Solve each equation BACK

7. Solving using the Quadratic formula 1)Calculate discriminant first (b 2 – 4ac) -tells us how many solutions 2)Find solutions using the formula (can be rational or irrational)