Warm Up - FactorWarm Up - Factor

1. x2 - 8x + 7

2. x2 + 9x + 14

(x - 7)(x – 1)

(x + 7)(x + 2)

Factoring Trinomials when a 1

Last Term Last Term POSITIVEPOSITIVE

Rule:Rule:When the last term is When the last term is

POSITIVE, the middle sign will POSITIVE, the middle sign will be the sign that goes inside be the sign that goes inside BOTH parenthesisBOTH parenthesis

2x2 – 5x + 3

For polynomials, how is factoring related to multiplying?

( )( )2x x – 1

– 3

5x2 + 11x + 2

For polynomials, how is factoring related to multiplying?

( )( )5x x +

2+ 1

3x2 – 10x + 7

For polynomials, how is factoring related to multiplying?

( )( )3x x – 1– 7

2x2 – 7x + 6

For polynomials, how is factoring related to multiplying?

( )( )2x x – 2– 3

2y2 – 17y + 35

For polynomials, how is factoring related to multiplying?

6x2 – 21x + 15

(2y – 7)(y – 5)

3(x – 1)(2x – 5)

4x2 – 15x + 9

For polynomials, how is factoring related to multiplying?

3x2 + 17x + 20

(4x – 3)(x – 3)

(3x + 5)(x + 4)

Last Term Last Term NEGATIVENEGATIVE

Rule:Rule:When the last term is NEGATIVE…When the last term is NEGATIVE…

If the middle number is If the middle number is PositivePositive, then , then the the larger number will be positivelarger number will be positive..

If the middle number is If the middle number is NegativeNegative, then , then the the larger number will be negative.larger number will be negative.

3x2 – 20x – 7

For polynomials, how is factoring related to multiplying?

( )( )3x x – 7

+ 1

2x2 + 3x – 5

For polynomials, how is factoring related to multiplying?

( )( )2x x – 1

+ 5

5m2 + 14m – 3

For polynomials, how is factoring related to multiplying?

( )( )

5m

m + 3

– 1

2m2 – 3m – 9

For polynomials, how is factoring related to multiplying?

( )( )

2m

m – 3+ 3

2x2 – 11x – 21

For polynomials, how is factoring related to multiplying?

( )( )2x x – 7

+ 3

3x2 – 5x – 12

For polynomials, how is factoring related to multiplying?

( )( )3x x – 3

+ 4

7y2 – 26y – 8

4x2 + 7x – 15

(7y + 2)(y – 4)

(4x – 5)(x + 3)

4x2 – x – 5

9x2 – 9x – 28

(4x – 5)(x + 1)

(3x + 4)(3x – 7)

Sometimes Sometimes you can you can

factor out a factor out a GCF 1GCF 1stst!!

2y( )( )

2x2y – 16xy + 32y2y(x2 – 8x +

16)x x– 4– 4

-3( )( )

-3x2 – 18x – 27-3(x2 + 6x + 9)

x x + 3

+ 3

Class WorkClass Work Factoring WS Last Factoring WS Last Term + or –Term + or –

26 problems26 problems

Home WorkHome WorkSPW 13.6SPW 13.6