Factor x^2+6x+8

Problem

x2+6*x+8

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=6 and c=8

2. Find two numbers that multiply to c (which is 8 and add to b (which is 6.

3. Determine the pair of numbers by testing factors of 8 2 and 4 satisfy the conditions because 2⋅4=8 and 2 + 4 = 6$.

4. Write the factored form as (x+p)*(x+q) using the numbers found in the previous step.

Final Answer

x2+6*x+8=(x+2)*(x+4)

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