13
AssignmentMultiple Select

Introduction to Polynomials

Question 13 • Sem 2 - Algebra 2 with Probability - Nkwati - Content

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 highest degree to lowest; when terms have the same degree, they are commonly ordered by descending powers of the first variable. In B, D, and F, all terms have the same total degree and follow that order. The other choices have terms out of order: for example, A goes from degree 5 to degree 1 and then degree 3.

AI-written and checked against the verified answer.

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