Solving Quadratics

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