Answer:
factored form: (n + 4)²
Solving for n: n = -4
Step-by-step explanation:
n² + 8n + 16
To solve this, simplify. Note that the factors of n² & 16, when combined, must equal 8n. Find factors of 16:
Factors of 16:
1, 2, 4, 8, 16
Use the factor 4:
n² + 8n + 16
n 4
n 4
(n + 4)(n +4) = (n + 4)² is your factored form.
If you need to, solve for n. Take one of the parenthesis, and set it equal to 0:
(n + 4) = 0
Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides:
n + 4 (-4) = 0 (-4)
n = 0 - 4
n = -4
~
