determine whether the expression is a polynomial.If it is,state how many terms and variables the polynomial contains.Then state its degree. -6x-1/2x

Question

anonymous · Answer

im lost pl help me

anonymous · Answer

Is that 1/(2x) , that is : Is the x in the denominator?
Or is that (1/2)x ?
It makes a huge difference as one is a polynomial and the other is not.

anonymous · Answer

Is it
$$-6x - \frac{ 1 }{ 2x }$$
or
$$-6x - \frac{ 1 }{ 2 }x$$

anonymous · Answer

yes

anonymous · Answer

1/2x

anonymous · Answer

im lost

anonymous · Answer

That didn't clarify anything 1/2x  .... the way your wrote that makes it UNCLEAR whether the x is in the denominator(like in the 1st equation I wrote) or not in the denominator (like the 2nd equation I wrote)

anonymous · Answer

the down one

anonymous · Answer

This one?
$$-6x - \frac{ 1 }{ 2 }x$$

anonymous · Answer

no

anonymous · Answer

Oh, ok.  That is NOT a polynomial. A polynomial can only have terms where the exponent of x is a positive integer. X cannot be in the denominator.
These are all polynomials: 4x^2 - 2x + 8, 18x^5 - 9
These are NOT polynomial: 5/x , 3x^(-2) -2x + 5

anonymous · Answer

the polynomial has __term and __variable