Question

Which expression is not a polynomial?
x-1
4+p
5x² - x
8x - z3

Answer 1

The given question have mistake.

Question:

Which expression is not a polynomial?

(1) x – 1

(2) 4 + p

(3)
`5x^2-\sqrt x`

(4)
`8x-z^3`

Answer:

`5x^2-\sqrt x` : Not a polynomial

Solution:

Definition of polynomial:

A polynomial can have constants, variables and exponents.

Constants = 2, 5

Variables = x, y, z

Exponents =
`x^2`

Not a polynomial:

Roots, fractions in power, negative powers and dividing by a variable are not polynomials.

Given expressions:

(1) x – 1 : Polynomial

(2) 4 + p : Polynomial

(3)
`5x^2-\sqrt x` : Not a polynomial

(4)
`8x-z^3` : Polynomial

Hence in the given expressions
`5x^2-\sqrt x` is not a polynomial.