Chapter 8.1, Problem 20P

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

$12t^2+1-3x+8-2x$

To determine

To write: the given polynomial in the standard form.

Answer to Problem 20P

Standard form $12t^2-5x+9$

Explanation of Solution

Given information:

The polynomial $12t^2+1-3x+8-2x$

To find the given polynomial in standard form, rearrange the terms according to decreasing order of power of exponent on the variable.

  $12t^2-5x+9$

This is the required standard form.

To determine

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

Answer to Problem 20P

Degree of the polynomial is 2 and number of terms is 3.

Explanation of Solution

Given information:

The polynomial $12t^2+1-3x+8-2x$

Standard equation $12t^2-5x+9$ ,

The degree is the highest power of polynomial. Here highest power is 2 therefore degree is 2. And count the terms then find here 3 terms.