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

RedDragonl Jul 14, 2024

#1**+1 **

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! :)

NotThatSmart Jul 15, 2024