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Solving Quadratics
Factoring Trinomials using
the Punnett’s Square
Factoring
5/17/2012 1Medina
Trinomials
5/17/2012 Medina 2
Factoring Steps: 1. Factor out the GCF other than
1. 2. Set up Diamond Problem3. Set up Punnett's Square to find
common factors4.Bring down GCF & Factors *If the expression can’t be
factored at all, then it’s Prime and need to use another method to solve.
5. Set each factor equal to zero and solve.
Trinomials
5/17/2012 Medina 3
24 32 28x x
7
8x7x 1x
7
1x
2x 7x
1x
7x
4 8x 71 2x
1. Factor out the GCF
other than 12. Set up Diamond
Problem3. Set up Punnett's
Square to find common
factors4. Bring down GCF &
Factors
Trinomials
5/17/2012 Medina 4
1
1x
7
7x
7x
5. Set each factor equal to zero and solve.
7 0x 1 0x
4
7 1
*Not a factor because it doesn’t have an x.
1xAND
Trinomials
5/17/2012 Medina 5
22 26 72x x
36
13x9x 4x
9
4x
2x 36x
4
x
9x
2 13x361 2x
1. Factor out the GCF other than 1
2. Set up Diamond Problem
3. Set up Punnett's Square
to find common factors
4. Bring down GCF & Factors
Trinomials
5/17/2012 Medina 6
4
4x
9
9x
9x
5. Set each factor equal to zero and solve.
9 0x 4 0x
2
9 4
*Not a factor because it doesn’t have an x.
4xAND
Trinomials
5/17/2012 Medina 7
2 7 12x x
12
7x3x 4x
3
4x
2x 12x
4
x
3x
7x 121 2x
1. Factor out the GCF 2. Set up Diamond
Problem3. Set up Punnett's
Square to find common
factors4. Bring down GCF &
Factors
Trinomials
5/17/2012 Medina 8
4
4x
3
3x
3x
5. Set each factor equal to zero and solve.
3 0x 4 0x
3 4
4xAND
Trinomials
5/17/2012 Medina 9
2 12 35x x
35
12x 7x 5x
7
5x
2x 35
x
5x
7x
12x 351 2x
1. Factor out the GCF other than 1
2. Set up Diamond Problem
3. Set up Punnett's Square
to find common factors
4. Bring down GCF & Factors
* Note : When the first number is a negative, factor out the (- ) sign
Trinomials
5/17/2012 Medina 10
5
5x
7
7x
7x
5. Set each factor equal to zero and solve.
7 0x 5 0x
7 5
5xAND
Trinomials
5/17/2012 Medina 11
23 12 35x x
24
10x12x 2x
4
3 2x
23x 8
x
23x
4x
10x 823x
1. Factor out the GCF other than 1
2. Set up Diamond Problem
3. Set up Punnett's Square
to find common factors
4. Bring down GCF & Factors
* Note : When the first number is a negative, factor out the (- ) sign
Trinomials
5/17/2012 Medina 12
2
3 2x
4
4x
4x
5. Set each factor equal to zero and solve.
4 0x 3 2 0x
4 23 2x
AND
3 3
23
x
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