Factor x^2-9x-36

Problem

x2−9*x−36

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−9 and c=−36

2. Find two numbers that multiply to the product a*c=−36 and add to the middle coefficient b=−9

3. Determine the pair of numbers, which are −12 and 3 since (−12)⋅3=−36 and −12+3=−9

4. Write the factored form using these numbers as (x+p)*(x+q)

Final Answer

x2−9*x−36=(x−12)*(x+3)

Want more problems? Check here!