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Find $t$ if the expansion of the product of $x^3$ and $x^2 + tx$ has no $x^2$ term.

 Jun 15, 2024
 #1
avatar+1075 
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Let's multiply everything out and see what we have. 

 

We get 

\(x^3(x^2+tx)\\ x^5+x^4t\)

 

As shown, there is not x^2 term. 

This means that t can pretty much be anything as long as it doesn't contain x^-2

 

Thanks! :)

 Jun 16, 2024

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