Question

Which of the following is a polynomial?

Answer 1

Answer:

A, B, C

Step-by-step explanation:

Assuming the choices are:

A. $(x-2)(x^{4}+3)$

B. $x^{2} -1$

C. A+$x^{4} +16$

D. $\frac{1}{x} +2$

Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.

Choice A already has a variable raised to a power greater than 1 ($x^{4}$), so no additional manipulation is needed.

Choice B also has a term that is already raised to a power greater than 1 ($x^{2}$). It is the same for choice C ($x^{4}$).

Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes $x^{-1} +2$. Since -1 is less than 1, choice D is not a polynomial.

Answer 2

Answer:

Option D

Step-by-step explanation:

$\\ \sf\longmapsto \dfrac{1}{x}+2$

Simplify

$\\ \sf\longmapsto x^{-1}+2$

Degree is less than 1 .It's not a polynomial