Find $t$ if the expansion of the product of $x^3$ and $x^2 + tx$ has no $x^2$ term.
Let's multiply everything out and see what we have.
We get
x3(x2+tx)x5+x4t
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! :)