Question

The expression 14.8-1.379t+0.451t^2-0.012t^3, where t represents time, models a person's VO_2 max while running on a treadmill.What is the degree of the polynomial?•first degree•second degree•third degreeWhat is the class of the polynomial?•polynomial•monomial•binomial•trinomial

Answer 1

Third-degree

Polynomial

1) Considering the polynomial expression we can rewrite it:

`\begin{gathered} 14.8-1.379t+0.451t^2-0.012t^3 \\ -0.012t^3+0.451t^2-1.379t+14.8 \end{gathered}`

So now we can visualize it better we can state: this is a third-degree polynomial since the leading coefficient is raised to the 3rd. degree.

2) As this polynomial has 4 terms then we can call it a polynomial.

3) Hence, the answer is:

Third degree

Polynomial