Factoring TrinomialsFactoring Trinomials

Algebra IBAlgebra IB

Mr. AgnewMr. Agnew

March 19, 2003March 19, 2003

ObjectiveObjective

• Factor by removing the GCF Factor by removing the GCF from a polynomialfrom a polynomial

• Completely factor trinomialsCompletely factor trinomials

Recall Process for Factoring…Recall Process for Factoring…

1. Look for a GCF. If there is a GCF, pull it outside of the parentheses.

2. Determine if you can factor what remains.

3. Multiply coefficient of x2 and constant (Quadrant 2).

4. Number in middle term (Quadrant 3).

5.Find two numbers that multiply to give number in Q3 and add to give number in Q4.

6.Create your two fractions.

7.Write binomials.

Factor the Following...Factor the Following...

2x2 - 7x + 6

GCF?NO

1212

-7-7

-4-4

-3-3

Make Fraction Bars

2 2

-4 -3

Reduce 1 2

-2 -3

ANSWER:

(x – 2)(2x – 3)

Factor the Following...Factor the Following...

6x2 + 25x + 9

GCF?NO

5454

2525

2727

2 2

Make Fraction Bars

6 6

27 2

Reduce 2 3

9 1

ANSWER:

(2x + 9)(3x + 1)