Chapter 8.1, Problem 50PPS

To determine

To classify: The polynomial $10t-4t^2+6t^3$ according to its degree and number of terms.

Answer to Problem 50PPS

cubic trinomial.

Explanation of Solution

Given:

  $10t-4t^2+6t^3$

Calculation:

The given polynomial is $10t-4t^2+6t^3$

Write it in standard form

  $6t^3-4t^2+10t$

The degree of the polynomial is $3$ . Hence, it is cubic

The polynomial has $3$ terms. Hence, it is trinomial.

Therefore, the given polynomial is cubic trinomial.