Factor x^2+13x+36

Problem

x2+13*x+36

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=13 and c=36

2. Find two numbers that multiply to c (36 and add up to b (13.

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

4. Select the pair (4,9) because 4×9=36 and 4 + 9 = 13$.

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

Final Answer

x2+13*x+36=(x+4)*(x+9)

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