Which represents the polynomial written in standard form? 8x^2y^2 – 3x^3y/2 + 4x^4 – 7xy^3 –7xy3 + 8x2y2 – 3x^3y/2 + 4x4 4x4 – 7xy3 – 3x^3y/2+ 8x2y2 4x4 + 8x2y2 – 3x^3y/2 -7xy3 –7xy3

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Question:

Which represents the polynomial written in standard form? 8x^2y^2 – 3x^3y/2 + 4x^4 – 7xy^3 –7xy3 + 8x2y2 – 3x^3y/2 + 4×4 4×4 – 7xy3 – 3x^3y/2+ 8x2y2 4×4 + 8x2y2 – 3x^3y/2 -7xy3 –7xy3 – 8x2y2 + 3x^3y/2+ 4×4

Answer:

–7xy³ + 8x²y² – 3x³y/2 + 4x⁴

Step-by-step explanation:

If the polynomial is

8x²y² – 3x³y/2 + 4x⁴ – 7xy³

We are required to pick out of these that which is arranged in standard form.

4x⁴– 7xy³ – 3x³y/2+ 8x²y²

4x⁴ + 8x²y² – 3x³y/2 -7xy³

–7xy³ – 8x²y² + 3x³y/2+ 4x⁴

A polynomial is in standard form when the term with the highest degree in a variable is written first and then followed by the next highest in a descending order. Simply put, when it is written in the descending order of that particular variable.

The polynomial

is written in standard form with ascending powers of x and descending powers of y.

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