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

gnistory Jun 30, 2024

#1**+1 **

First, let's multiply the terms out. We get that

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

There is no x^2 in this polynomial.

However, it is possible if t has a x^-2 to it, then we get x^2.

Other than that, no other terms work.

Thanks! :)

NotThatSmart Jun 30, 2024