Question

Choose the polynomial that is written in standard form.

A:2x3y2 + 4x4y + 8x7
B:−3x4y2 + 4x4y5 + 10x2
C:6xy2 + 4x3y8 + 9x2
D:−2x5y3 + 4x2y2 + x2

Thanks to those that help.

Answer 1

Standard form of a polynomial starts with the term with the x that has the highest degree then decreases

D. is the polynomial that is in standard form

:)))

Answer 2

Option D -
`-2x^5y^3+4x^2y^2+x^2`

Explanation:

Given : The polynomials.

To find : Choose the polynomial that is written in standard form.

Solution :

The standard form of writing the polynomial is based on order of degree.

The order of degree is written from highest to lowest.

A)
`2x^3y^2+4x^4y+8x^7`

Highest degree is 7 so
`8x^7` it come first.

So, No it is not in standard form.

B)
`-3x^4y^2+4x^4y^5+10x^2`

Highest degree is 9 so
`4x^4y^5` it come first.

So, No it is not in standard form.

C)
`6xy^2+4x^3y^8+9x^2`

Highest degree is 11 so
`4x^3y^8` it come first.

So, No it is not in standard form.

D)
`-2x^5y^3+4x^2y^2+x^2`

This is written in standard form as

Highest degree is 8 so
`-2x^5y^3` come first.

Second highest degree is 4 so
`4x^2y^2` come second.

Third highest degree is 2 so
`4x^2y^2` come third.

Therefore, Option D is correct.

The polynomial that is written in standard form is
`-2x^5y^3+4x^2y^2+x^2`