+826 Fill in the coefficients:
n(n - 1)(n + 17)(n - 21)(n - 33) = n^5 + ___ n^4 + ___ n^3 + ___ n^2 + ___n + ___
+1892 First, let's use the FOIL method and combine two of the terms together.
Combining two at a time, we get
\(n\left(n^2+16n-17\right)\left(n^2-54n+693\right)\)
Then, once again, combining the trinomials, we get
\(n\left(n^4-38n^3-188n^2+12006n-11781\right)\)
Distributing in the n. we finally find that
The final answwer is \(n^{5}-38n^{4}-188n^{3}+12006n^{2}-11781n\)
Thanksd! :)
