Introduction to Polynomials

Question 1

Which terms could be used as the first term of the expression below to create a polynomial with a degree of 5 written in standard form? Check all that apply. + 2x2y2 – 3xy3–4x3y2x38.4x4y25x4y–xy3

Revolt · Accepted Answer

–4x3y2; 5x4y

Question 2

Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y + 3x3 +2. Explain which student is correct and why.

Revolt · Accepted 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.

Question 3

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

Revolt · Accepted Answer

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.

Introduction to Polynomials Answers

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