complicated quadratic equation
Post on 21-May-2015
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COMPLICATED
QUADRATIC EQUATION
(Tic/Tac/Toe)
These are harder to solve as you
have to consider factors on the first
and last term.
Factor
5x2 + 32x + 12
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
5x2 + 32x + 12
5x2
12
1. Place the first and last term in the top left and center squares
5x2
12
2. Multiply them diagonally
5x2 * 12 = 60x2
60x2
5x2 + 32x + 12
1. Place the first and last term in the top left and center squares
5x2
12
2. Multiply them diagonally
5x2 * 12 = 60x2
60x2
3. Now find factors of 60x2 that adds up to value of “b” (32x)
1x . 60x2x . 30x
3x . 20x 4x . 15x
That 2x + 30x = 32x
4.Place these in the top center and left center boxes.
2x, 30x
2x
30x
5x2 + 32x + 12
1. Place the first and last term in the top left and center squares
5x2
12
2. Multiply them diagonally
5x2 * 12 = 60x2
60x2
3. Now find factors of 60x2 that adds up to value of “b” (32x)
1x . 60x2x . 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
5x2 + 32x + 12
1. Place the first and last term in the top left and center squares
5x2
12
2. Multiply them diagonally 5x2 * 12 = 60x2
60x2
3. Now find factors of 60x2 that adds up to value of “b” (32x)
1x . 60x2x . 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)
5x2 + 32x + 12
1. Place the first and last term in the top left and center squares
5x2
12
2. Multiply them diagonally
5x2 * 12 = 60x2
60x2
3. Now find factors of 60x2 that adds up to value of “b” (32x)
1x . 60x2x . 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)
5x2 + 32x + 12
Factors of 5x2 + 32x + 12 is (X+6) (5x+2)
Created by:Sonia M. Agustin
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