. Which of the following is a polynomial


A: 2x

B: x2

C: 5x3y2z3

D: x+x2+x3+x4

 

Best Answer

Explanation:

An expression which is a set of variables and coefficients in which the only operations are addition, subtraction,

multiplication, and non-negative integer exponents of variables, is referred to as a polynomial.

(A)2x 

It is a single-variable expression that contains the multiplication operation, and the variable  is raised to power of , which is a non-negative integer.

So, it is a polynomial.

(B)x2

It is a single-variable expression that contains the multiplication operation, and the variable  is raised to power of , which is a non-negative integer.

So, it is a polynomial.

(C)5x3y2z3

It is a triple-variable expression that contains the multiplication operation, and the variables  are raised to powers of , respectively which are non-negative integers.

So, it is a polynomial.

(D) x+x2+x3+x4

It is a single-variable expression that contains the addition operation, and the variable  are raised to powers of , which are non-negative integers.

So, it is a polynomial.

Final answer:

The correct options are A, B, C, and D, i.e. 2x ,x2, 5x3y2z3, and x+x2+x3+x4.

 

Talk to Our counsellor