Factor x^2-11x-12

Problem

x2−11*x−12

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−11 and c=−12

2. Find two numbers that multiply to c=−12 and add to b=−11

3. Determine the pair of numbers by testing factors of −12 the numbers −12 and 1 satisfy both conditions because (−12)*(1)=−12 and −12+1=−11

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

Final Answer

x2−11*x−12=(x−12)*(x+1)

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