Factor 3x^2-6x-9

Problem

3*x2−6*x−9

Solution

1. Factor out the greatest common factor (GCF) from all three terms, which is 3

3*(x2−2*x−3)

2. Identify the coefficients of the quadratic expression inside the parentheses, x2−2*x−3 where a=1 b=−2 and c=−3

3. Find two numbers that multiply to c=−3 and add to b=−2 These numbers are −3 and 1

4. Rewrite the quadratic using the factors (x−3) and (x+1)

3*(x−3)*(x+1)

Final Answer

3*x2−6*x−9=3*(x−3)*(x+1)

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