## anonymous 3 years ago Which of the following are polynomials.

1. anonymous

$A) x^5+x-\frac{ 1 }{ 4 } B)-4c^2-\frac{ 5 }{ c } C)5y+\sqrt{y}+7 D) -2t^4-6t+$

2. anonymous

@jim_thompson5910

3. anonymous

@Mathmuse

4. anonymous

I cheated and went to wikipedia but the definition is good "a polynomial is an expression of finite length constructed from variables (also called indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents." pay particular attention to the the very last qualifier of the quote

5. anonymous

@mathstudent55

6. anonymous

Which exponents are not integers in the expressions you listed?

7. anonymous

A & B?

8. anonymous

in a) the exponents on you x variable are 5, and 1. both integers in b) the exponents on the c variable are 2, -1. both integers, but one negative. this does not fit the description of a polynomial

9. anonymous

identify the exponents in c) and d)

10. anonymous

So A is one and C?

11. anonymous

So,A,C,D

12. anonymous

A & D

13. anonymous

right, the exponent of a square root is 1/2, not an integer

14. anonymous

thank you

15. anonymous

while the exponents in d) areall positive and integers