Factor x^2+x-12

Problem

x2+x−12

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=1 and c=−12

2. Find two numbers that multiply to c (which is −12 and add to b (which is 1.

3. Determine the pair of numbers by checking factors of −12 the numbers 4 and −3 satisfy both conditions because 4⋅(−3)=−12 and 4 + (-3) = 1$.

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

Final Answer

x2+x−12=(x+4)*(x−3)

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