Question

Choose the polynomial that is written in standard form.

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

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Answer 2

Answer:

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

Step-by-step 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 $-2x^5y^3+4x^2y^2+x^2$