Factor x^2+15x+36

Problem

x2+15*x+36

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=15 and c=36

2. Find two numbers that multiply to c (36 and add up to b (15.

3. List the factor pairs of 36 (1,36) (2,18) (3,12) (4,9) and (6,6)

4. Select the pair (3,12) because 3×12=36 and 3 + 12 = 15$.

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

Final Answer

x2+15*x+36=(x+3)*(x+12)

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