Question

Write the given polynomial in standard form.

$1-x^4$

Short answer

The given expression can be best described as the $-x^4+1$.

Step-by-step solution

Step 1. Define a polynomial.

A polynomial is defined as an expression which is composed of variables, constants and non-negative exponents that are combined by using mathematical operations.

Step 2. Define the meaning of standard form of a polynomial.

The standard form of a polynomial means, writing the polynomial in descending powers of the variable.

Step 3. Write the polynomial, 1−x4 in standard form

Observe the polynomial, $1-x^4$.

Terms of the polynomial are$1$ and $-x^4$.

The term having highest power of $x$is $-x^4$.

Arrange the terms of the polynomial in descending power of $x$.

That is equal to $-x^4+1$.

This is the required standard form of the polynomial.

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