1. Solving Quadratic Equations

2. Find the quadratic equation if the solutions are 3 and -2. x = 3 x = -2 Make them equal zero. x – 3 = 0x + 2 = 0 (x – 3)(x + 2) = 0 FOIL x 2 – x - 6

3. Find the quadratic equation if the solutions are 3/2 and 5. x = 3/2x = 5 Get rid of the 2 by multiplying both sides by 2. 2x = 3x = 5 Make them both equal zero. 2x – 3 = 0x – 5 = 0 (2x – 3)( x – 5) = 0 FOIL 2x 2 – 13x – 10 = 0

4. Find the quadratic equation if the solutions are 5/3 and -2. x = 5/3x = -2 Get rid of the 3 by multiplying both sides by 3. 3x = 5x = -2 Make them both equal zero. 3x – 5 = 0x + 2 = 0 (3x – 5)( x + 2) = 0 FOIL 3x 2 + x – 10 = 0

5. Find the quadratic equation if the solutions are -7 and 1. x = -7 x = 1 Make them equal zero. x + 7 = 0x - 1 = 0 (x + 7)(x - 1) = 0 FOIL x 2 + 6x – 7 = 0

6. Find the quadratic equation if the solution is 8. x = 8x = 8 Make both equal zero. x – 8 = 0x – 8 = 0 (x – 8)(x – 8) = 0 FOIL x 2 – 16x + 64 = 0