Question

Which represents the polynomial written in standard form?

8x2y2 – + 4x4 – 7xy3

–7xy3 + 8x2y2 – + 4x4
4x4 – 7xy3 – + 8x2y2
4x4 + 8x2y2 – – 7xy3
–7xy3 – + 8x2y2 + 4x4

Answer 1

The first option is correct

Standard form starts with the term that has the highest x degree then decreases.

:)))

Answer 2

4x^4 +8x^2y^-2 - 7xy^3

Explanation:

8x^2y^-2 + 4x^4 – 7xy^3

To write the polynomial in standard form we look at the exponent of variables from left to right

x is the first variable, we take the term with variable x that has highest exponent

4x^4

WE take the terms that start decreasing with the exponent x

8x^2y^-2

exponent of x should decrease and y should increase

So standard form is

4x^4 +8x^2y^-2 - 7xy^3