14
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Introduction to Polynomials

Question 14 • [INMT3] Integrated Math 3 Sem 1 (26-27)

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 ordered from highest degree to lowest; when all terms have the same degree, the powers of the first variable descend. In B, D, and F, the powers of a or x decrease from left to right, and each polynomial’s terms have the same total degree. A, C, and E do not follow this order.

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