Question

Instructions: Determine if the given expression represents a polynomial expression.

Answer 1

Step 1

Polynomials are algebraic expressions that consist of variables and coefficients.

An example of a polynomial with one variable is;

$x^2+x-12$

All the exponents in the algebraic expression of a polynomial must be non-negative integers in order for the algebraic expression to be a polynomial. As a general rule of thumb if an algebraic expression has a radical in it then it isn’t a polynomial.

The given question is;

$x^2+3x^{\frac{1}{2}}$

Answer;

$No$

This is because of the radical in the power of the x with a coefficient of 3.