+826 Find $t$ if the expansion of the product of $x^3$ and $x^2 + tx$ has no $x^2$ term.
+1892 Let's multiply the polynomials and see what we get.
We have \((x^3)(x^2 + tx)\)
Distributing in the x^3, we find that we get the expression
\(x^5+tx^4\)
there is actually no x^2 term, meaning t can pretty much be anything.
As long as t doesn't contain a x^-2 term, then it isn't possible there is an x^2 term.
Thanks! :)
