1. COMPLICATED QUADRATIC EQUATION (Tic/Tac/Toe)

2. Factor 5x 2 + 32x + 12 These are harder to solve as you have to consider factors on the first and last term .

3. Here are some step you can follow to factor it using the Tic /Tac/Toe method 1. Place the first and last term in the top left and center squares 5x 2 + 32x + 12 5x 2 12

4. 1. Place the first and last term in the top left and center squares 5x 2 12 2. Multiply them diagonally 5x 2 * 12 = 60x 2 60x 2 5x 2 + 32x + 12

5. 1. Place the first and last term in the top left and center squares 5x 2 12 2. Multiply them diagonally 5x 2 * 12 = 60x 2 60x 2 3. Now find factors of 60x 2 that adds up to value of “b” (32x) 1x . 60x 2x . 30x 3x . 20x 4x . 15x That 2x + 30x = 32x 4.Place these in the top center and left center boxes. 2x, 30x 2x 30x 5x 2 + 32x + 12

6. 1. Place the first and last term in the top left and center squares 5x 2 12 2. Multiply them diagonally 5x 2 * 12 = 60x 2 60x 2 3. Now find factors of 60x 2 that adds up to value of “b” (32x) 1x . 60x 2x . 30x 3x . 20x 4x . 15x That 2x + 30x = 32x 4.Place these in the top center and left center boxes. 2x, 30x 2x 30x 5. Now pull out the common factors across and down and place them at the bottom side x 6 5x 2 5x 2 + 32x + 12

7. 1. Place the first and last term in the top left and center squares 5x 2 12 2. Multiply them diagonally 5x 2 * 12 = 60x 2 60x 2 3. Now find factors of 60x 2 that adds up to value of “b” (32x) 1x . 60x 2x . 30x 3x . 20x 4x . 15x That 2x + 30x = 32x 4.Place these in the top center and left center boxes. 2x, 30x 2x 30x 5. Now pull out the common factors across and down and place them at the bottom side x 6 5x 2 6.Your answer will be (x+ 6) 5x 2 + 32x + 12

8. 1. Place the first and last term in the top left and center squares 5x 2 12 2. Multiply them diagonally 5x 2 * 12 = 60x 2 60x 2 3. Now find factors of 60x 2 that adds up to value of “b” (32x) 1x . 60x 2x . 30x 3x . 20x 4x . 15x That 2x + 30x = 32x 4.Place these in the top center and left center boxes. 2x, 30x 2x 30x 5. Now pull out the common factors across and down and place them at the bottom side x 6 5x 2 6.Your answer will be (x+6) (5x + 2) 5x 2 + 32x + 12

9. Factors of 5x 2 + 32x + 12 is (X+6) (5x+2)

10. Created by: Sonia M. Agustin