Chapter 8, Problem 16SGR

To determine

To write the polynomial in standard form.

Answer to Problem 16SGR

  $x^2+3x+2$

Explanation of Solution

Given:

Polynomial: $2+3x+x^2$

Concept used:

The standard form of a polynomial is the expression in which the terms are arranged from the highest degree to the lowest degree.

Consider the given expression,

  $2+3x+x^2$

Term	Degree of the term
$2$	constant
3x	1
$x^2$	2

Thus, arranging the terms in descending order (From the highest to the lowest), the standard form of a polynomial is obtained.

  $\Rightarrow x^2+3x+2$

Conclusion:

Therefore, the standard form of the polynomial is $x^2+3x+2.$