Factor x^2+8x-9

Problem

x2+8*x−9

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=8 and c=−9

2. Find two numbers that multiply to c (which is −9 and add to b (which is 8.

3. Determine the pair of numbers, which are 9 and −1 since 9⋅(−1)=−9 and 9 + (-1) = 8$.

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

Final Answer

x2+8*x−9=(x+9)*(x−1)

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