Factor x^2-6x-27

Problem

x2−6*x−27

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−6 and c=−27

2. Find two numbers that multiply to the constant term c=−27 and add to the linear coefficient b=−6

3. Determine the pair of numbers by testing factors of −27 the numbers −9 and 3 satisfy both conditions because (−9)*(3)=−27 and −9+3=−6

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

Final Answer

x2−6*x−27=(x−9)*(x+3)

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