Question

Why √3z² - 5√z+6 is not a polynomial

Answer 1

$\huge\mathfrak{Polynomial:}$

An algebraic expression with the combination of different variables and constant terms where the power of each real number is a non negative integer is what we call as polynomial.

Examples include : (√3z² - 5z + 6), (x -2), etc,.

There are different types of polynomials. Some of these are :

» Linear polynomial, of degree or power 1

» Quadratic polynomial, of degree or power 2, etc.

It should be made clear that, √ or square root = 1/2

Now, the given expression (√3z² - 5√z + 6) can also be written as,

√3z² - 5z^1/2 + 6

Since, the power of z is not in the form of an integer, the given expression is not said to be a polynomial.