The general form for quadratic equations is:

Ax

^{2}+Bx+CIf A=1, you have x

^{2}+Bx+C=0, and the following procedure always works.If A ≠ 1, then Step 1 of both Scenarios below will always apply, but not Step 2.

The general form of the factors in this case will look like:

(x + D)*(x + E)

where D and E are factors of C whose sum is B.

In order to find D and E, its important to know whether they are positive or negative first.

We find this out by using a simple procedure.

Scenario #1:

Step 1:

If C is negative:

We know that D is positive and E is negative (or vice versa, it doesn't really matter which order you choose).

Step 2:

If B is positive, we know that the factor of C with the larger absolute value will be the positive number.

If B is negative, we know that the factor of C with the larger absolute value will be the negative number.

Scenario #2:

Step 1:

If C is positive:

We know that D and E are both the same sign, either both positive or both negative.

Step 2:

If B is positive, C and D are both positive.

If B is negative, C and D are both negative.

Once you've figured out the signs (positive or negative) for D and E, then all that's left is the simple job of finding a pair of factors of C that add up together to equal B. In other words, D*E = C and D+E = B.

After that, you're done and you've successfully factored your quadratic equation. Congratulations. Now try this procedure on a few practice problems to prove it works and become comfortable with using it. It'll save you hours.