Factor x^2-11x+18

Problem

x2−11*x+18

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−11 and c=18

2. Find two numbers that multiply to c (18 and add up to b (−11.

3. Determine the factors of 18 that satisfy the condition: −2 and −9 since (−2)×(−9)=18 and (−2)+(−9)=−11

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

Final Answer

x2−11*x+18=(x−2)*(x−9)

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