Chapter 8, Problem 15SGR

To determine

To write the polynomial in standard form.

Answer to Problem 15SGR

  $-x^4+1$

Explanation of Solution

Given:

Polynomial: $1-x^4$

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,

  $1-x^4$

Finding the degree of each term separately,

Term	Degree of the term
$1$	constant
$-x^4$	4

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

  $\Rightarrow -x^4+1$

Conclusion:

Therefore, the standard form of the polynomial is $-x^4+1.$