Factor x^2+13x+12

Problem

x2+13*x+12

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=13 and c=12

2. Find two numbers that multiply to c (12 and add up to b (13.

3. Determine the factors by testing pairs of numbers that multiply to 12 1 and 12 2 and 6 3 and 4

4. Select the pair 1 and 12 because 1 + 12 = 13$.

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

Final Answer

x2+13*x+12=(x+1)*(x+12)

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