Question

Is the expression $4x^3-3.6x^2-\sqrt{2}$a polynomial? If so, what is its degree?

Short answer

The solution is yes, the expression is a polynomial with degree$3$ .

Step-by-step solution

Step 1. Given information 

Expression:$4x^3-3.6x^2-\sqrt{2}$

Step 2. Calculation  

A polynomial in one variable is an algebraic expression of the form $a_n{x}^n+a_{n-1}{x}^{n-1}+.......+a_0$.

Here the expression $4x^3-3.6x^2-\sqrt{2}$is a polynomial where $4,\left(3.6\right),\sqrt{2}$are the coefficients, $x$is the variable and $3$is the degree.