## kaylala 2 years ago 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

1. julian25

they r not, in the polinomila the exponents must be integers

2. bahrom7893

^ positive integers

3. bahrom7893

and the answer's wrong. I can see at least one expression, which, when simplified, becomes a polynomial.

4. kaylala

@bahrom7893 what expression can be a polynomial?

5. bahrom7893

Simplify each of them and post what you get.

6. thinker

@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.

7. kaylala

@bahrom7893 1. cant be simplified 2. 12b^2 --------- 5 3. still the same 4. same 5. (square root of 3) xy ------------------ 4 ??????

8. bahrom7893

well technically x^2/3 is a polynomial, x^(2/3) is not.

9. bahrom7893

So once you have simplified it, which one ends up with positive integer exponents?

10. kaylala

@bahrom7893 where did you get x^2/3?

11. bahrom7893

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?

12. kaylala

so, what's the answer per number item?

13. bahrom7893

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.

14. kaylala

number 2?

15. bahrom7893

yes

16. kaylala

but # 2 has a denominator??

17. bahrom7893

but not in the exponent

18. kaylala

doesnt # 2 have a variable in the denominator? @bahrom7893

19. bahrom7893

2. 12b^2 -------- where do you see a variable in the denominator? 5

20. kaylala

ohhh..ok so the variable hence is a letter. is # 2 the only polynomial out of all? @bahrom7893

21. bahrom7893

yes. basically polynomials follow a form a*x^(n) where a can be any number, n has to be a positive integer.

22. kaylala

ok. thanks @bahrom7893