Factor x^2-9x-22

Problem

x2−9*x−22

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−9 and c=−22

2. Find two numbers that multiply to the product a*c=−22 and add to the linear coefficient b=−9

3. Determine the factors of −22 that satisfy the condition: the numbers are −11 and 2 since (−11)×2=−22 and −11+2=−9

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

Final Answer

x2−9*x−22=(x−11)*(x+2)

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