Question

Which polynomial is in standard form?

A) 4xy + 3x³y⁵ - 2x⁵y⁷ + 4x⁷y⁹
B) 2x⁵y⁷ + 7y - 8x²y⁵ - 12xy²
C) 5x⁵ - 9x²y² - 3xy³ + 6y⁵
D) 7x⁷y² + 5x¹1y⁵ - 3xy² + 1

Answer 1

The polynomial in standard form is option C) 5x⁵ - 9x²y² - 3xy³ + 6y⁵.

Step-by-step explanation:

The polynomial in standard form is option C) 5x⁵ - 9x²y² - 3xy³ + 6y⁵.

In standard form, a polynomial is arranged in descending order of the degree of the terms.

The term with the highest degree is written first, followed by terms in descending order of degree.

Option C) satisfies this condition, as the terms are arranged in descending order of degree: 5x⁵, -9x²y², -3xy³, and 6y⁵.