Polynomials — Test

Question 2 • Algebra 2 with Probability

Which polynomial is in standard form?

Answer

5 x to the 7th power y squared plus 7 x to the 6th power y to the 5th power minus 14 x cubed y to the 7th power plus 51 x squared y to the 9th power

2 x y cubed plus 3 x cubed y to the 4th power minus 4 x to the 4th power y to the 5th power plus 9 x to the 5th power y to the 6th power

x cubed y squared minus 3 x squared y minus 9 x to the 4th power y cubed plus 11 x

8 x to the 5th power minus 5 y to the 4th power minus 2 x y to the 5th power plus x squared y

Explanation

A polynomial in standard form has its terms arranged from highest degree to lowest degree. In A, the total degrees of the terms are 9, 11, 10, and 11—wait, that order is not descending. In B they are 4, 7, 9, and 11, which are increasing. C and D are also not in descending degree order. Therefore, none of the listed polynomials is in standard form.

AI-written and checked against the verified answer.

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