Factor x^2+5x+6

Problem

x2+5*x+6

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=5 and c=6

2. Find two numbers that multiply to equal c (which is 6 and add to equal b (which is 5.

3. Determine the pair of numbers, which are 2 and 3 since 2⋅3=6 and 2 + 3 = 5$.

4. Write the expression in factored form (x+p)*(x+q) using the numbers found in the previous step.

Final Answer

x2+5*x+6=(x+2)*(x+3)

Want more problems? Check here!