Question

Order the polynomial in descending powers of r . Do not repeat terms.

+2rs -5 -3r2 -4r3s

Answer 1

placing these in descending order we use the exponents to do this...

-4r³s - 3r² + 2rs - 5

Answer 2

The required order of polynomial is
`-4r^3s-3r^2+2rs-5`.

Explanation:

The given polynomial is

`2rs-5-3r^2-4r^3s`

We have to arrange the polynomial in descending powers of r.

In term 2rs, the power of r is 1.

In term -5, the power of r is 0.

In term -3r², the power of r is 2.

In term -4r³s, the power of r is 3.

On arranging the polynomial in descending powers of r, we get

`-4r^3s-3r^2+2rs-5`

Therefore the required order of polynomial is
`-4r^3s-3r^2+2rs-5`.