Question

Which of the following are polynomial functions? Check all that apply.

Answer 1

Answer:

A, B, C, E

Step-by-step explanation:

A. F(x) = 3x-^3 - 19 is a Polynomial of degree 3

B. F(x) = 2x^2 + 5x - 3 Is a Polynomial of degree 2 or a quadratic function

C. F(x) = -x^3 + 5x2 + 7x - 1 is also a polynomial of the degree 3

D. F(x) = -x^3 + sq -x is not a polynomial due to the square root operation

E. F(x) = 3/5x^4 - 18x^3 + x^2 - 10x + 3.5 is a Polynomial of the degree 4

What is a Polynomial?

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non negative integer exponents of variables.

Answer 2

Answer:

A, B, C and E are polynomial functions, D is not.

Step-by-step explanation:

An polynomial is an algebraic entity of the form:

$p(x) = \Sigma \limits_{i=0}^{n}\, a_{i}\cdot x^{i}, \forall i\in\mathbb{N}_{O}$

Where $a_{i}$ is the i-th coefficient and $n$ is the order of the polynomial.

The function A is a third-order polynomial.

The function B is a second-order polynomial.

The function C is a third-order polynomial.

The function D is not a polynomial due to the presence of a square root.

The function E is a fourth-order polynomial.