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 factors by testing pairs of numbers that multiply to −9 the pair 1 and −9 satisfies the condition because 1 + (-9) = -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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