Factor 4x^2-4x-24

Problem

4*x2−4*x−24

Solution

1. Factor out the greatest common factor (GCF) from all three terms, which is 4

4*(x2−x−6)

2. Identify the coefficients of the quadratic expression inside the parentheses, x2−x−6 where a=1 b=−1 and c=−6

x2−x−6

3. Find two numbers that multiply to c=−6 and add to b=−1

−3×2=−6

−3+2=−1

4. Rewrite the trinomial using the factors found in the previous step.

(x−3)*(x+2)

5. Combine the GCF with the factored binomials to reach the final expression.

4*(x−3)*(x+2)

Final Answer

4*x2−4*x−24=4*(x−3)*(x+2)

Want more problems? Check here!