Factor x^2+7x-18

Problem

x2+7*x−18

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=7 and c=−18

2. Find two numbers that multiply to c (−18 and add to b (7.

3. Determine the pair of numbers by testing factors of −18 the numbers 9 and −2 satisfy both conditions because 9⋅(−2)=−18 and 9 + (-2) = 7$.

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

Final Answer

x2+7*x−18=(x+9)*(x−2)

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