What is the 1st term when 1 + 6x² + 5x⁴ + 3x³ is arranged in descending order?

Solution:

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

Given, the function is 1 + 6x² + 5x⁴ + 3x³.

We have to find the 1st term of the function in descending order.

Now, arranging the function 1 + 6x² + 5x⁴ + 3x³ in descending order, we get,

5x⁴ + 3x³ + 6x² + 1

Therefore, the 1st term of the function = 5x⁴

Example:

What is the 3rd term when 8 + x² - 7x⁴ + 5x³ is arranged in descending order?

Solution:

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

Given, the function is 8 + x² - 7x⁴ + 5x³.

We have to find the 3rd term of the function in descending order.

Now, arranging the function 8 + x² - 7x⁴ + 5x³ in descending order, we get,

-7x⁴ + 5x³ + x² + 8

Therefore, the 3rd term of the function = x².

What is the 1st term when 1 + 6x² + 5x⁴ + 3x³ is arranged in descending order?

Summary:

The 1st term when 1 + 6x² + 5x⁴ + 3x³ is arranged in descending order is 5x⁴.