The given question have mistake.
Question:
Which expression is not a polynomial?
(1) x – 1
(2) 4 + p
(3) [tex]5x^2-\sqrt x[/tex]
(4) [tex]8x-z^3[/tex]
Answer:
[tex]5x^2-\sqrt x[/tex] : Not a polynomial
Solution:
Definition of polynomial:
A polynomial can have constants, variables and exponents.
Constants = 2, 5
Variables = x, y, z
Exponents = [tex]x^2[/tex]
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) [tex]5x^2-\sqrt x[/tex] : Not a polynomial
(4) [tex]8x-z^3[/tex] : Polynomial
Hence in the given expressions [tex]5x^2-\sqrt x[/tex] is not a polynomial.
