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

Pythagorearn May 28, 2024

#1**+1 **

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! :)

NotThatSmart May 28, 2024