Factor -3x^2+18x+120

Problem

−3*x2+18*x+120

Solution

1. Factor out the greatest common factor, which is −3 from each term in the expression.

−3*(x2−6*x−40)

2. Identify two numbers that multiply to the constant term −40 and add to the linear coefficient −6

−10⋅4=−40

−10+4=−6

3. Rewrite the quadratic expression inside the parentheses using the identified factors (x−10) and (x+4)

−3*(x−10)*(x+4)

Final Answer

−3*x2+18*x+120=−3*(x−10)*(x+4)

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