Multiple Choice
Classify –6x^5 + 4x^3 + 3x^2 + 11 by degree.
(1 point)
Responses
quintic
quintic
cubic
cubic
quartic
quartic
quadratic
The correct answer is:
quintic
To classify the polynomial -6x^5 + 4x^3 + 3x^2 + 11 by degree, we need to determine the highest power of x in the polynomial.
The highest power of x in the polynomial is 5, which means that the polynomial is a quintic.
Therefore, the correct answer is: quintic.
To classify the polynomial -6x^5 + 4x^3 + 3x^2 + 11 by degree, we need to determine the highest power of x in the polynomial, which is also known as the degree of the polynomial.
In this case, the term with the highest power of x is -6x^5. Since the exponent of this term is 5, we can conclude that the degree of the polynomial is 5.
Based on the given options, the correct classification for a polynomial with a degree of 5 is "quintic." Therefore, the correct answer is "quintic."