14
QuizMultiple Choice

Polynomials — Test

Question 14 • Algebra 2 with Probability

The missing term in the following polynomial has a degree of 5 and a coefficient of 16 square plus 13 x to the 6th power minus 11 x cubed minus 9 x squared plus 5 x minus 2 Which statement best describes the polynomial?

Answer
A
It is not in standard form because the degree of the first term is not greater than six.
B
It is not in standard form because the degree of the first term should be equal to zero.
C
It is in standard form because the coefficients are in order from highest to lowest.
D
It is in standard form because the exponents are in order from highest to lowest.

Explanation

The missing term is 16x⁵, so the polynomial begins 16x⁵ + 13x⁶. In standard form, terms must be written in descending order of their exponents, but 5 is less than 6. Therefore, the polynomial is not in standard form; the first term’s degree is not greater than the next term’s degree.

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