Factor a^2+11a+18

Problem

a2+11*a+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 the constant term c=18 and add up to the linear coefficient b=11

3. Determine the factors of 18: pairs include (1,18) (2,9) and (3,6)

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

5. Write the factored form using these two numbers as (a+2)*(a+9)

Final Answer

a2+11*a+18=(a+2)*(a+9)

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