Question

Order the polynomial -xy^2 + 7x^3y^3 - 3xy^5 + 2x^2y^4 in descending powers of x.

A) 7x^3y^3 - 2x^2y^4 - xy^5 - xy^2
B) 7x^3y^3 - xy^2 + 2x^2y^4 - 3xy^5
C) -xy^2 + 7x^3y^3 - 3xy^5 + 2x^2y^4
D) -x*y^2 + 7x^3y^3 + 2x^2y^4 - 3xy^5

Answer 1

The polynomial -xy^2 + 7x^3y^3 - 3xy^5 + 2x^2y^4 should be ordered in descending powers of x as follows: -xy^2 + 7x^3y^3 + 2x^2y^4 - 3xy^5

Step-by-step explanation:

To order the polynomial -xy^2 + 7x^3y^3 - 3xy^5 + 2x^2y^4 in descending powers of x, we arrange the terms from highest power of x to lowest power of x. Here is the correct arrangement:

-xy^2 + 7x^3y^3 + 2x^2y^4 - 3xy^5