Chapter 8.1, Problem 15P

Write each polynomial in standard form. Then name each polynomial based on its degree and number of terms.

$15.15x-x^3+3$

To determine

To write: the given polynomial in the standard form.

Answer to Problem 15P

Standard form $-x^3+15x+3$

Explanation of Solution

Given information:

The polynomial $15x-x^3+3$

To find the given polynomial in standard form, rearrange the terms according to decreasing order of power of x ,

  $-x^3+15x+3$

This is the required standard form.

To determine

To write: the degree and number of terms of given polynomial.

Answer to Problem 15P

Degree of the polynomial is 3 and number of terms are 3.

Explanation of Solution

Given information:

The polynomial $15x-x^3+3$

The degree is the highest power of polynomial. Here highest power is 3 therefore degree is 3. And count the terms then find here 3 terms.