Chapter 8, Problem 17SGR

To determine

To write the polynomial in standard form.

Answer to Problem 17SGR

  $3x^5+x^3-2x^2+6x-2$

Explanation of Solution

Given:

Polynomial: $3x^5-2+6x-2x^2+x^3$

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,

  $3x^5-2+6x-2x^2+x^3$

Term	Degree of the term
$3x^5$	5
$-2$	constant
$6x$	1
$-2x^2$	2
$x^3$	3

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

  $\Rightarrow 3x^5+x^3-2x^2+6x-2$

Conclusion:

Therefore, the standard form of the polynomial is $3x^5+x^3-2x^2+6x-2.$