Chapter 8.1, Problem 18P

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

$7b^2+4b$

To determine

To write: the given polynomial in the standard form.

Answer to Problem 18P

Standard form $7b^2+4b$

Explanation of Solution

Given information:

The polynomial $7b^2+4b$

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

  $7b^2+4b$

This is the required standard form.

To determine

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

Answer to Problem 18P

Degree of the polynomial is 2 and number of terms is 2.

Explanation of Solution

Given information:

The polynomial $7b^2+4b$

The degree is the highest power of polynomial. Here highest power is 2 therefore degree is 2. And count the terms then find here 2 terms.