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

 Jun 30, 2024
 #1
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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! :)

 Jun 30, 2024

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