Factor n^2+6n+8

Problem

n2+6*n+8

Solution

1. Identify the coefficients of the quadratic expression in the form a*n2+b*n+c where a=1 b=6 and c=8

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

3. Determine the factors of 8 that satisfy the condition: 2×4=8 and 2 + 4 = 6$.

4. Rewrite the expression as a product of two binomials using these integers.

5. Verify the result by expanding (n+2)*(n+4) to ensure it equals n2+6*n+8

Final Answer

n2+6*n+8=(n+2)*(n+4)

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