Processing math: 100%
 
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avatar+864 

Fill in the coefficients:
n(n - 1)(n + 17)(n - 21)(n - 33) = n^5 + ___ n^4 + ___ n^3 + ___ n^2 + ___n + ___

 Jul 17, 2024
 #1
avatar+1776 
0

You get n^5 - 38n^4 + 108n^3 - 336n^2 + 7220n + 148060

 Jul 17, 2024
 #2
avatar+1950 
+1

First, let's use the FOIL method and combine two of the terms together. 

Combining two at a time, we get

n(n2+16n17)(n254n+693)

 

Then, once again, combining the trinomials, we get

n(n438n3188n2+12006n11781)

 

Distributing in the n. we finally find that

The final answwer is n538n4188n3+12006n211781n

 

Thanksd! :)

 Jul 17, 2024
edited by NotThatSmart  Jul 17, 2024

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