Factor x^2+5x-36

Problem

x2+5*x−36

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=5 and c=−36

2. Find two numbers that multiply to c (which is −36 and add to b (which is 5.

3. Determine the factors of −36 that satisfy the condition: the numbers 9 and −4 work because 9⋅(−4)=−36 and 9 + (-4) = 5$.

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

Final Answer

x2+5*x−36=(x+9)*(x−4)

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