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

 May 28, 2024
 #1
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First, let's multiply it out. \(x^3(x^2+tx) = x^5+tx^4\)

 

As you can see, there is no x^2 term in this expansion. 

 

This means t can be pretty much anything we want as long as it doesn't contain x^-2 in it!

 

Thanks! :)

 May 28, 2024

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