Question

Choose the polynomial that is written in standard form.

−3x5y2 + 4x3y + 10x2
−8xy2 + 4x4y2 + 3x3
x4y2 + 4x3y5 + 10x4
x6y2 + 4x3y8 + 10x7

Answer 1

The polynomial that is written in standard form is:

-3x^5^2 + 4x^3y + 10x^2

As you can see, the terms are arranged based on the value of the exponents. From the largest exponent x^5 to the smallest exponent x^2.

Answer 2

Option A is the correct option.

Explanation:

Polynomials given in the question are

1)
`-3x^(5)y^(2)+4x^(3)y+10x^(2)`

2)
`-8xy^(2)+4x^(4)y^(2)+3x^(3)`

3)
`x^(4)y^(2)+4x^(3)y^(5)+10x^(4)`

4)
`x^(6)y^(2)+4x^(3)y^(8)+10x^(7)`

In a standard form of a polynomial term with the highest degree should be written first, then second highest degree term and similarly other terms should be written.

Here 1st polynomial is in the standard form only in which degree of terms are as followed.

1 term
`3x^(5)y^(2)` degree of term = (5 +2) = 7

2nd term
`4x^(3)y` degree of term = (3 +1) = 4

3rd term 10x² degree of term = 2

So the answer is option A.