17
AssignmentMultiple Select

The Cube Root Function

Question 17 • Algebra II Honors A

Which polynomials are in standard form?

Answer
A
x2y3 + y + 3xy2
B
– 5a3 + 12a2b – 15ab2 + b3
C
4xy + 2x2y2 + xy3
D
7x4 + 4x3y – 3x2y2 – y4
E
14b3 + ab3 – 6ab + 8ab2
F
3a4 + 4a3b – 6a2b2 – 4ab3 – b4

Explanation

A polynomial is in standard form when its terms are arranged from greatest degree to least degree. In B, D, and F, every term has the same total degree and the powers of the first variable decrease from left to right. The other choices have terms out of order: for example, C begins with a degree-2 term before degree-4 terms, and E places a degree-4 term after a degree-3 term.

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