Please help urgent help needed

Question

anonymous · Answer

What's wrong?

anonymous · Answer

attachment

anonymous · Answer

this is a polynomial question and i have to determine which of them are polynomials i have figured out 2 of them but i got the answer wrong  i dont know which one i am missing

anonymous · Answer

I'm soory. I havent goten this far in math yet

anonymous · Answer

@terenzreignz this is the question i fgured out that the 3rd and the 4th one are definitely polynomials but i am not sure what others are polynomials. i checked my answer but i got it wrong please help

terenzreignz · Answer

Two general rules with regards to polynomials...
ONE - All exponents of x must be positive integers
TWO - NO x in the denominator.

anonymous · Answer

i am unsure is the first one a polynomial

terenzreignz · Answer

There is an x in the first one that has an exponent $\large \frac49$...
is that a positive integer?

anonymous · Answer

yes it is a positive integer so yeah it is a polynomial?

terenzreignz · Answer

You better recheck your knowledge of "positive integers" ;)

terenzreignz · Answer

Another word for "positive integers" is "natural numbers"
The numbers we all used to count with when we were little kids :D
1 2 3 4 ...

You didn't count including  $\large \frac49$..... did you? o.O

anonymous · Answer

nah i thought that since it is a fraction it might not be a polynomial

anonymous · Answer

and what about the 5th one why is that not a polynomial

terenzreignz · Answer

Correct in that account... polynomials must not have x's with fractional polynomials (unless they be fractions that are just integers in disguise, such as $\large \frac84 = 2$  )

terenzreignz · Answer

fractional EXPONENTS (bloody typos)

anonymous · Answer

but 4/9 are not in disguise they how is it still a polynomial

terenzreignz · Answer

It isn't.

terenzreignz · Answer

First one is not a polynomial.
Fifth one is.

anonymous · Answer

ok and why is the 5th one a polynomial?

terenzreignz · Answer

Well, simplify it.  Does it give you any x's in the denominator?  Does it give you any x with a fractional exponent?

terenzreignz · Answer

No matter how weird the numbers (be they constants or coefficients) what matter are the exponents of the x's and their positions (they must not be in the denominator)

anonymous · Answer

ok i get it thanks for your help

terenzreignz · Answer

No problem.

anonymous · Answer

sorry one last thing just to confirm the powers cannot be fractions until they can be reduced to a whole number and x can nver be in the denominator so according to the question the polynomials are 3, 4 and 5

terenzreignz · Answer

There is one more.