Factor x^2-9x+8

Problem

x2−9*x+8

Solution

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

2. Find two numbers that multiply to the constant term c=8 and add up to the linear coefficient b=−9

3. Determine the factors by testing pairs of numbers that multiply to 8 (−1)×(−8)=8 and (−1)+(−8)=−9

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

Final Answer

x2−9*x+8=(x−1)*(x−8)

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