Question

Which of the expressions are NOT polynomials? Check all that apply.

A. x^2-(square root of x)-3
B. 4 - 3x + 5x^6
C. 5x^1/2 + 4x^2
D. 14x^7
E. x^2-x-12/x+3
F. 8x^10 + 2x^5

Answer 1

i think D.

Answer 2

and others.

Answer 3

D is a polynomial, all monomials are polynomials

Answer 4

isn't D a monomial?

Answer 5

why?

Answer 6

a monomial is a polynomial

Answer 7

O.O

Answer 8

a polynomial is the sum of one OR more monomials

Answer 9

it's weird, but you can technically sum one item

Answer 10

so,
monomialS are polynomial.

Answer 11

yes

Answer 12

xD

Answer 13

to answer the original question, the answers are A, C, and E

Answer 14

why are the answers A, C & E ?????????

Answer 15

they want to know which ones are NOT polynomials

Answer 16

NOT a polynomial means a monomial right?

so why are they monomial?

Answer 17

NOT a polynomial would be something like \[\large \sqrt{x}\] or \[\large \frac{1}{x}\]

Answer 18

again, monomials are polynomials

Answer 19

1/x can't be a monomial.... :O as you said.
it can be written as x^-1.

soo?

Answer 20

exactly, 1/x is not a monomial and 1/x is not a polynomial

Answer 21

wow, then what is it?

Answer 22

1/x is a rational expression, something completely different

Answer 23

not sure where the confusion lies, but a polynomial is a very strict form that was explained in that other post

Answer 24

a^2 + a

is that a polynomial?

Answer 25

yes

Answer 26

E. x^2-x-12/x+3
why is that NOT a polynomial?

Answer 27

didn't see that one correctly and forgot that you can simplify


So because (x^2-x-12)/(x+3) = x-4, this means that it is a polynomial


However, something like (x^2-x-12)/(x+9) cannot be simplified and isn't a polynomial

Answer 28

Alright, thanks. i think i got it. :D