Factor -3x^2+24x+60

Problem

−3*x2+24*x+60

Solution

1. Identify the greatest common factor (GCF) for all terms in the expression.

2. Factor out the GCF, which is −3 from each term to simplify the quadratic expression inside the parentheses.

−3*(x2−8*x−20)

3. Find two numbers that multiply to the constant term −20 and add to the linear coefficient −8

4. Determine that the two numbers are −10 and 2

5. Rewrite the quadratic expression as a product of two binomials using these numbers.

−3*(x−10)*(x+2)

Final Answer

−3*x2+24*x+60=−3*(x−10)*(x+2)

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