Question

Write each polynomial in standard form. 6y5 – 4y8 – 2 + 4y3

Answer 1

The standard form is :

`- 4 {y}^(8) + 6 {y}^(5) + 4 {y}^(3) - 2`

Explanation:

A polynomial in standard form will be in decreasing powers of the variable.

The given polynomial is

`6 {y}^(5) - 4 {y}^(8) - 2 + 4 {y}^(3)`

We rearrange the terms in descending powers of y.

We start with the term with the highest degree and end with the term with the least degree.

`- 4 {y}^(8) + 6 {y}^(5) + 4 {y}^(3) - 2`