Q. 2 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

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

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.