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Introduction to Polynomials

Question 12 • Sem 2 - Algebra 2 with Probability - Nkwati - Content

Which polynomials are in standard form?

Answer
A
x2 + 3x + 2
B
q3 – 15q + 12q2 – 16
C
4a + a2 + a – 2
D
3x4 + 4x3 – 3x2 – 1
E
3t3 + 3t2 + 2t
F
14 + a3 – 6a + 8a2

Explanation

A polynomial is in standard form when its terms are arranged from the greatest exponent to the smallest. A has powers 2, 1, and 0; D has powers 4, 3, 2, and 0; and E has powers 3, 2, and 1, so each is in standard form. The other choices are not arranged in descending powers, and C also has like terms that should be combined.

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