Factor x^2+12x+27

Problem

x2+12*x+27

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=12 and c=27

2. Find two numbers that multiply to the constant term c=27 and add to the linear coefficient b=12

3. Determine the factors by testing pairs of numbers that multiply to 27 1×27 (sum is 28 and 3×9 (sum is 12.

4. Write the expression as a product of two binomials using the numbers 3 and 9

Final Answer

x2+12*x+27=(x+3)*(x+9)

Want more problems? Check here!