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. List the factor pairs of 18: (1,18) (2,9) and (3,6)

4. Select the pair (2,9) because 2×9=18 and 2 + 9 = 11$.

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

Final Answer

x2+11*x+18=(x+2)*(x+9)

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