Factor x^2+15x+54

Problem

x2+15*x+54

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=15 and c=54

2. Find two numbers that multiply to the constant term c=54 and add up to the linear coefficient b=15

3. Test factor pairs of 54 1×54 2×27 3×18 and 6×9

4. Select the pair 6 and 9 because 6×9=54 and 6 + 9 = 15$.

5. Write the factored form using these two numbers as (x+p)*(x+q)

Final Answer

x2+15*x+54=(x+6)*(x+9)

Want more problems? Check here!