F(a) = {a}^{ (1)/(2) } + 3a + {a}^(2) f(x) = (9)/(17) {x}^(83) + \sqrt{54 {x}^(97) } + \pi g(x) = (x - (2)/(3) )(x + (3)/(4) ) which one of the following is a polynomial and whi…

Question

`f(a) = {a}^{ (1)/(2) } + 3a + {a}^(2)`


`f(x) = (9)/(17) {x}^(83) + \sqrt{54 {x}^(97) } + \pi`

`g(x) = (x - (2)/(3) )(x + (3)/(4) )`
which one of the following is a polynomial and which is not, and why?​

Answer 1

Explanation:

g(x) is a polynomial. It doesn't contain a rational degree with the variable as the denominator, negative eexponents, or irrational coeffecienfs, and no rational exponents as a degree.

f(x) and f(a) isn't a polynomial. It contain a irrational coeffceint like pi. So it not a polynomial. And they both have a rational exponet as a degree