###### Example 6.7.8 Polynomial Vocabulary

Decide if the following statements are true or false.

The expression \(\frac{3}{5}x^2-\frac{1}{5}x^7+\frac{x}{2}-4\) is a polynomial.

The expression \(4x^6-3x^{-2}-x+1\) is a polynomial.

The degree of the polynomial \(\frac{3}{5}x^2-\frac{1}{5}x^7+\frac{x}{2}-4\) is \(10\text{.}\)

The degree of the term \(5x^2y^4\) is \(6\text{.}\)

The leading coefficient of \(\frac{3}{5}x^2-\frac{1}{5}x^7+\frac{x}{2}-4\) is \(\frac{3}{5}\text{.}\)

There are 4 terms in the polynomial \(\frac{3}{5}x^2-\frac{1}{5}x^7+\frac{x}{2}-4\text{.}\)

The polynomial \(\frac{3}{5}x^2-\frac{1}{5}x^7+\frac{x}{2}-4\) is in standard form.