Factor x^3-x^2-6x

Problem

x3−x2−6*x

Solution

1. Identify the greatest common factor (GCF) for all terms in the expression, which is x

2. Factor out the GCF from the polynomial.

x*(x2−x−6)

3. Find two numbers that multiply to the constant term −6 and add to the coefficient of the middle term −1

4. Determine that the two numbers are −3 and 2

5. Factor the quadratic expression inside the parentheses using these numbers.

x*(x−3)*(x+2)

Final Answer

x3−x2−6*x=x*(x−3)*(x+2)

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