Algebra Examples

Factor 3x^2-5x-2
Step 1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Factor out of .
Rewrite as plus
Apply the distributive property.
Multiply by .
Step 2
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Step 3
Factor the polynomial by factoring out the greatest common factor, .
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