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What is the coefficient of $x$ in $(x^3 + x^2 + x + 1)(x^4 - 8x^3 + 17x^2 - 23x + 14)$?

 Jul 24, 2024
 #1
avatar+1804 
+1

This is defintely not a smart tactice, but let's expand everything. 

I won't show all the steps, but we eventually get

\(x^{7}-7x^{6}+10x^{5}-13x^{4}+8x^{2}-9x+14\)

 

Thus, our answer is -9. 

 

Thanks! :)

 Jul 24, 2024
edited by NotThatSmart  Jul 24, 2024

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