solving quadratics
DESCRIPTION
Factoring. Solving Quadratics. Factoring Trinomials using the Punnett’s Square. Factor out the GCF other than 1. Set up Diamond Problem Set up Punnett's Square to find common factors 4.Bring down GCF & Factors - PowerPoint PPT PresentationTRANSCRIPT
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