Factor x^2-x-6

Problem

x2−x−6

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−1 and c=−6

2. Find two numbers that multiply to c (which is −6 and add to b (which is −1.

3. Determine the pair of numbers, which are −3 and 2 since (−3)×2=−6 and −3+2=−1

4. Write the expression in factored form (x+p)*(x+q) using the numbers found.

Final Answer

x2−x−6=(x−3)*(x+2)

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