Chapter 2.2, Problem 7E

To determine

To complete the statement.

Answer to Problem 7E

A polynomial function is written in $\underset{\_}{\text{general}}$ from when its terms are written in decreasing order of exponents from left to right.

Explanation of Solution

Given information:

A polynomial function is written in $\underset{\_}{}$ from when its terms are written in decreasing order of exponents from left to right.

Calculation:

The general form of the polynomial with degree n is,

  $f\left(x\right)=a_n{x}^n+a_{n-1}{x}^{n-1}+a_{n-2}{x}^{n-2}+\mathrm{...............}+a_2{x}^2+a_{1}x+a_0$ .

Where $a_n$ is the coefficient of $x^n$ , $a_{n-1}$ is the coefficient of $x^{n-1}$ .

Similarly, $a_1$ is the coefficient of $x$ and $a_0$ is a constant.

For example

  $f\left(x\right)=2x^2+x+7$

This is the polynomial of degree 2.