Consider the polynomial: StartFraction x Over 4 EndFraction – 2x5 + StartFraction x cubed Over 2 EndFraction + 1 Which polynomial represents the standard form of the original polynomial?

Step-by-step explanation:

Given

Required

The standard form of the polynomial

The general form of a polynomial is

Where k is a constant and the terms are arranged from biggest to smallest exponents

We start by rearranging the given polynomial

Given that the highest exponent of x is 5;

Let n = 5

Then we fix in the missing terms in terms of n

Substitute 5 for n

Hence, the standard form of the given polynomial is