+856 Find $t$ if the expansion of the product of $x^3$ and $x^2 + tx$ has no $x^2$ term.
+1786 Let's first multiply the terms together and see what we get.
Multiplying \(x^3(x^2+tx)\), we use the distrbutive property.
Factoring in x^3, we get that
\(x^5+tx^4\)
There is no x^2 term in this expansion of the product.
This means t can pretty much be anything unless it contain x^-2.
Other than that, t could be pretty much any number or polynomial.
Thanks! :)
