Question

Which represents the polynomial written in standard form?

4m – 2m4 – 6m2 + 9

Answer 1

D

Explanation:

I just know it

Answer 2

`-2m^4-6m^2+4m+9`

Explanation:

Any polynomial will have degrees of variable in integers and the degrees would be always positive.

It is conventional to write standard forms of polynomials in the descending powers of x.

i.e. we write for cubic polynomial the term containing x cube, and for power 5 polynomial, the term containing power 4, next power 3, thus strictly in descending order.

The given polynomial is

`4m-2m^4-6m^2+9`

This is a polynomial because all x have powers in positive integers.

But this is not in standard form as highest degree of 4 is not the first term

Let us rearrange according to powers of m

We get

`-2m^4-6m^2+4m+9`

as standard form