Question

Are the following expressions polynomials?
A. f(x)=3x+4/3x^3-7
B. g(x)=-5x^3+x-3/x
C. h(x)=x^3√5+x-3
D. k(x)=25x^2-x^3+x^5

Answer 1

any of the ones where there is an x in the denominator are NOT polynomials

x inside a square root is also NOT polynomial

Answer 2

so the only polynomial is D?

Answer 3

I can't tell, cos idk what C is exactly...

Answer 4

Well this is the problem, if it helps :o

Answer 5

That's much easier. only ONE is not polynomial.. .read the rules above to decide which isn't.

Answer 6

Are all of them polynomial except for the second one?

Answer 7

Correct.

Answer 8

Thank you so much! You're awesome :) do you think you could explain this one to me?

Answer 9

monomial is similar to a polynomial, but only has one term.

It can't have variables in the denominator (just like a polynomial), but can have various terms multiplied together eg 4xyz is a monomial.

Answer 10

so would neither one of those be a monomial since the first one is a fraction and the second one is also a fraction?

Answer 11

They can't have *variables* in the denominator...

Answer 12

so they are both monomials then?

Answer 13

since there is only 1 variable in the denominator?

Answer 14

Which one has a variable in the denominator? the first has a 7 in the denominator, the other has 8c^3d^2 in the denominator.

Answer 15

B has a variable in the denominator

Answer 16

well, variables

Answer 17

Correct :)

Answer 18

I'm sorry, I just want to make sure I'm understanding this! But, only B would be a monomial and not A since the denominator in A does not have any variables?

Answer 19

B is *not* a monomial... it has variables in the denominator.

Answer 20

A monomial is a type of polynomial. Neither can have variables in the denominator.

Answer 21

Ohh okay, I understand now! So since A is a monomial, would its degree be 8?

Answer 22

Correct again!

Answer 23

Thank you so much @agent0smith for being so patient with me and for taking your time to help me understand this, I really appreciate it! :)