Question

Order the polynomial -x⁴y²+7x³y³-3xy⁵+2x²y⁴ in descending powers of x +2x²y⁴ -3xy⁵ -x⁴y² +7x³y³​

Answer 1

The polynomial -x⁴y²+7x³y³-3xy⁵+2x²y⁴ is ordered in descending powers of x as follows: -x⁴y², +7x³y³, +2x²y⁴, -3xy⁵.

Step-by-step explanation:

To order the polynomial -x⁴y²+7x³y³-3xy⁵+2x²y⁴ in descending powers of x, you need to rearrange the terms starting with the highest exponent of x, followed by the subsequent lower powers of x. The terms should be written as follows:

1. -x⁴y²
2. +7x³y³
3. +2x²y⁴
4. -3xy⁵

Note that when ordering polynomials, if the terms have the same power of x, you should then look at the powers of y to order them further. However, in this case, each term has a unique power of x, so this additional step is not needed.