Slide and Divide Method

Factoring Trinomials of the form 2 + + , where 1

Slide and Divide Method

Steps to Factoring + +

Slide the leading coefficient over, under the constant, and multiply the two 1. together. Re-write the trinomial without a leading

coefficient.

2.

Follow the same rules as when = 1, and factor this new trinomial.

Since we multiplied the leading

3.

coefficient with the constant in Step 1, we must now DIVIDE it out from the

constants of the factors from Step 2.

Simplify the fractions. 4. If the denominator doesn't cancel out,

...

5.

... slide it up to be the coefficient of the variable.

Example Factor: - +

2 - 5 + 2

2 - 5 +

( - 4)( - 1)

4

1

- -

1 ( - ) -

( - 2)(2 - 1)

Here's Another Example...

Step

1.

Factor: + -

2 + - 6

2.

( + 3)( - 2)

3.

3

2

+ 3 - 3

4.

( + 1)(3 - 2)

Adapted from

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