Factor x^2+8x+12

Problem

x2+8*x+12

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=8 and c=12

2. Find two numbers that multiply to the constant term c=12 and add up to the linear coefficient b=8

3. Determine the factors of 12 (1,12) (2,6) and (3,4)

4. Select the pair (2,6) because 2×6=12 and 2 + 6 = 8$.

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

Final Answer

x2+8*x+12=(x+2)*(x+6)

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