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Are the following algebraic expressions a POLYNOMIAL OR NOT? 1. (square root of ) x^3 y^2 z 2. 12ab^2 -------- 5ab 3. -3 ------- xy 4. 9(cube root of z) 5. ((square root of 3) x^2 y^3) / 4xy^2

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they r not, in the polinomila the exponents must be integers
^ positive integers
and the answer's wrong. I can see at least one expression, which, when simplified, becomes a polynomial.

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Other answers:

@bahrom7893 what expression can be a polynomial?
Simplify each of them and post what you get.
@kaylala : polynomial is something which has power of an integer, not a fraction Say x^2 is a polynomial , not x^2/3 I hope you got this one.
@bahrom7893 1. cant be simplified 2. 12b^2 --------- 5 3. still the same 4. same 5. (square root of 3) xy ------------------ 4 ??????
well technically x^2/3 is a polynomial, x^(2/3) is not.
So once you have simplified it, which one ends up with positive integer exponents?
@bahrom7893 where did you get x^2/3?
nvm that, it was from an example that thinker was talking about. From your own simplified post. Which of those expressions have positive integer exponents?
so, what's the answer per number item?
I'm not going to give you the answer. You are 90% there. Can you just answer which of the expressions, when simplified end up with positive integer exponents? <- that expression will be your answer.
number 2?
but # 2 has a denominator??
but not in the exponent
doesnt # 2 have a variable in the denominator? @bahrom7893
2. 12b^2 -------- where do you see a variable in the denominator? 5
ohhh..ok so the variable hence is a letter. is # 2 the only polynomial out of all? @bahrom7893
yes. basically polynomials follow a form a*x^(n) where a can be any number, n has to be a positive integer.
ok. thanks @bahrom7893

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