Factor x^2+13x+30

Problem

x2+13*x+30

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=13 and c=30

2. Find two numbers that multiply to c (30 and add up to b (13.

3. List the factor pairs of 30 1×30 2×15 3×10 and 5×6

4. Select the pair 3 and 10 because 3×10=30 and 3 + 10 = 13$.

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

Final Answer

x2+13*x+30=(x+3)*(x+10)

Want more problems? Check here!