Factoring Trinomials



SLIDE and DIVIDE METHOD

Factoring Trinomials

(Leading Coefficient Not Equal To 1)

Use this method to factor a trinomial in the form of [pic]when “a” does not equal 1.

Steps: Example: [pic]

1. Multiply leading coefficient and constant. [pic]

2. Rewrite trinomial without leading coefficient and [pic] replace constant with product from step #1.

3. Factor trinomial in Step #2. [pic]

4. DIVIDE the last term in each binomial with [pic]

the dropped coefficient.

5. Reduce the fractions, if possible. [pic]

6. For fractions that remain, “SLIDE” the denominator [pic]

in front of the first term in the binomial. [pic]

7. The trinomial is now factored. Answer: [pic]

Try These:

1. 3x2 + 13x – 10 2. 5x2 + 21x + 4

3. 4x2 – 5x – 6 4. 12x3 + 52x2 + 16x

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