is 2x-1/2x a polynomial and if it is how many degrees does it have and how many terms and variables does it have?
Nope. We have 2x on the denominator. That's the same thing as (2x)⁻¹, or 1/2 x⁻¹. The exponents of the "x"s on a polynomial must be natural numbers, and -1 isn't natural, so it isn't a polynomial.
Nope. Not even a binomial, because 2x - 1/2 x = 1 1/5 x.
is that
(2x-1)/2x
2x/2x-1/2x
1-1/2x
1=1/2x
multiply both sides by 2x
2x=1
no, it not a polynomial
as
2x-1/2x
2x=1/2x
4x^2=1
4x^2-1=0
differnce of squares
(2x+1)(2x-1)
that makes it a polynomial
It's a binomial because it only has 2 terms.
Comments
Nope. We have 2x on the denominator. That's the same thing as (2x)⁻¹, or 1/2 x⁻¹. The exponents of the "x"s on a polynomial must be natural numbers, and -1 isn't natural, so it isn't a polynomial.
Nope. Not even a binomial, because 2x - 1/2 x = 1 1/5 x.
is that
(2x-1)/2x
2x/2x-1/2x
1-1/2x
1=1/2x
multiply both sides by 2x
2x=1
no, it not a polynomial
as
2x-1/2x
2x=1/2x
multiply both sides by 2x
4x^2=1
4x^2-1=0
differnce of squares
(2x+1)(2x-1)
that makes it a polynomial
It's a binomial because it only has 2 terms.