-14x^3

Question

————
X^3-5x^4

I know the answer is
1-5x
——
-14x

But does
x ≠ 1/5,0
x ≠ 0
x ≠ 1/5

I think x ≠ 1/5, 0, but I’m not sure. Thanks!!!!!

Answer 1

I would interpret your
-14x^3
————
X^3-5x^4

as -14x^3/(x^3 - 5x^4)
= -14x^3/(x^3(1 - 5x))
= -14/(1-5x), where x ≠ 0, technically x ≠ 1/5 is implicit and thus does not have to be stated.

btw, your answer of (1-5x)/-14x is not correct.

Answer 2

I see. The answer would be
-14x
——— where x ≠ 1/5, 0
1-5x

Right?... :-) This makes a lot of sense now. Got my answer mixed up. Thanks!

Answer 3

It is not -14x on top, it is -14
we cancelled the x^3

Answer 4

Oops. I just can’t seem to get it right. Thanks! :-P