What is the 4th term when 8 + 2x² - 4x⁴ + 7x³ is arranged in descending order?

Solution:

Descending order means a series beginning with the greatest range and ending with the smallest range.

A mathematical expression of one or more algebraic terms in which the variables involved have only non-negative integer powers is called a polynomial.

The Standard form polynomial definition states that the polynomials need to be written with the exponents in decreasing order.

Given, the function is 8 + 2x² - 4x⁴ + 7x³.

We have to find the 4^th term of the function in descending order.

Now, arranging the function 8 + 2x² - 4x⁴ + 7x³ in descending order, we get,

-4x⁴ + 7x³ + 2x² + 8

Therefore, the 4^th term of the function is 8.