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QUESTION

# How do I factor using the zero factor property?

The states that if ab=0, then either a=0 or b=0.

Example: find the roots of x^2-x-6.

x^2-x-6=0

(x-3)(x+2)=0

Now, the zero factor property can be applied, since two thing are being multiplied and equal zero.

We know that either

x-3=0color(white)(ssss) or color(white)(ssss)x+2=0

Solve both to find that x=3 or x=-2.

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