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 constant term c=−36 and add to the linear coefficient b=9

3. Determine the pair of numbers by testing factors of −36 the numbers 12 and −3 satisfy both conditions since 12⋅(−3)=−36 and 12 + (-3) = 9$.

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

Final Answer

x2+9*x−36=(x+12)*(x−3)

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