### Instruction: Factor $46x^3-115x^7.$.### Response: Ok, so we have $46x^3-115x^7$.
The greatest common factor of 46 and 115 is 23.
That's true. So, let's factor that out.
$23(2x^3-5x^7)$.
Now, what's the greatest common factor of $2x^3$ and $5x^7$?
It's $x^3$.
Right. So we can factor that out as well.
Which gives us $23x^3(2-5x^4)$.