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 factored form using these two numbers as (x+p)*(x+q)

Final Answer

x2+6*x−27=(x+9)*(x−3)

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