Factor x^2+7x-8

Problem

x2+7*x−8

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=7 and c=−8

2. Find two numbers that multiply to c (which is −8 and add to b (which is 7.

3. Determine the factors by testing pairs of numbers: 8 and −1 satisfy the conditions because 8⋅(−1)=−8 and 8 + (-1) = 7$.

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

Final Answer

x2+7*x−8=(x+8)*(x−1)

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