Factor x^2+9x+18

Problem

x2+9*x+18

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=9 and c=18

2. Find two numbers that multiply to c (18) and add up to b (9).

3. Determine the factors by testing pairs of numbers that multiply to 18: 1×18 2×9 and 3×6

4. Select the pair 3 and 6 because 3 + 6 = 9$.

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

Final Answer

x2+9*x+18=(x+3)*(x+6)

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