Question

Marcus states that the polynomial expression 3x3 – 4x2y + y2 + 2 is in standard form. Ariel states that it should be y2 – 4x2y + 3x3 +2. Explain which student is correct and why.

Answer 1

Answer:

They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.

Step-by-step explanation:

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Answer 2

Answer:

What did you include in your response? Check all that apply.

Both students are correct.

The standard form of a polynomial is in descending order of degrees for one variable, but it does not matter which variable you use.

Marcus wrote the standard form in terms of x.

Ariel wrote the standard form in terms of y.

Step-by-step explanation:

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