Factor of n3+n+n2+1
I don't know sorry
note how the terms lend themselves to groupng:
n^3 + n + n^2 + 1 = n(n^2+1) + 1(n^2+1) = (n+1)(n^2+1)
To find the factors of the expression n^3 + n + n^2 + 1, we can try to factor it by grouping.
Step 1: Group the terms in pairs:
(n^3 + 1) + (n + n^2)
Step 2: Factor out the common factor from each group:
n(n^2 + 1) + 1(n^2 + 1)
Step 3: Notice that both terms have a common factor of (n^2 + 1), so we can factor it out:
(n^2 + 1)(n + 1)
Therefore, the factors of the expression n^3 + n + n^2 + 1 are (n^2 + 1) and (n + 1).