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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