+0  
 
0
19
1
avatar+551 

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

 May 28, 2024
 #1
avatar+1926 
+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! :)

 May 28, 2024

1 Online Users