Question

Is the equation g(x)=-5x^3+x-(3/x) polynomial?

Answer 1

Please look up "polynomial." Look for examples. Then compare your "g(x)=-5x^3+x-(3/x)" to your examples and decide whether it's a polynomial or not.

Answer 2

the x cant be a dominator so the answer has to be no

Answer 3

x can totally be a denominator. The denominator just can't be 0, so that sets a limit on whtat the values of x can be.

Answer 4

there cant be a variable as a denominator

Answer 5

Why not? A variable as a denominator is perfectly mathematically sound, you can graph a function such as y = 1/x.

Answer 6

the rule of polynomials states that a variable cant be the denominator

Answer 7

Hold it, please. The question was about whether the given function is polynomial or not.

Answer 8

So, your answer should have the "yes or no" form, with an explanation.

Answer 9

All right. When do they teach you that, anyway, I'm in precal and never heard of that (and wasn't trying to answer, she answered her own question, was just trying to clear something up that I apparently know nothing about.)

Answer 10

"the rule of polynomials states that a variable cant be the denominator" .... actually, you won't find such a rule in print. Rather, you're looking for a particular form
\[f(x)=a _{n}x^n+a _{n-1}x ^{n-1}+.....\]

Answer 11

where the coefficients a_n are real and no exponent of x is less than 0.

Answer 12

ok

Answer 13

Is the equation g(x)=-5x^3+x-(3/x) polynomial?

Hint: re-write this as \[ g(x)=-5x^3+x-3x ^{-1}\]

Answer 14

There it is, see, I've seen polynomial form before, sometimes I forget that exponents can't be less than zero cause they never ask me that.

Answer 15

Is "g(x)=-5x^3+x-3x ^{-1}" a polynomial or not?

Answer 16

Yes, I see what you mean, the websites i saw all said the variables cant be denominators

Answer 17

the answer is no

Answer 18

Alexis: You are paraphrasing, not stating facts. Be careful to distinguish between what is essential YOUR interpretation of what is said and what the "sites say." None of these web sites "say that variables can't be denominators." They only state that the coefficients are real and that the exponents of x are all 0 or greater.

Answer 19

True, the answer here is NO, because the exponent -1 is less than 0.

Answer 20

thanks

Answer 21

https://algebra1course.files.wordpress.com/2012/08/nonmonimial.png

Answer 22

thats where i got my info from

Answer 23

That says for monomials. Monomials and polynomials are totally different. Monomials can't have a variable in the denominator because that makes it more than one term (the def'n of a monomial).