Question
Classify –6x5 + 4x3 + 3x2 + 11 by degree.
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GPT 3.5
To classify the polynomial -6x^5 + 4x^3 + 3x^2 + 11 by degree, we need to arrange the terms in order from highest degree to lowest degree.
The highest degree term is -6x^5, so the polynomial has a degree of 5.
The next highest degree term is 4x^3, so the polynomial also contains a term of degree 3.
The next highest degree term is 3x^2, so the polynomial also contains a term of degree 2.
The final term, 11, is a constant term and does not have a variable raised to any power, so it does not contribute to the degree of the polynomial.
Therefore, the polynomial -6x^5 + 4x^3 + 3x^2 + 11 is classified as a fifth-degree polynomial.
The highest degree term is -6x^5, so the polynomial has a degree of 5.
The next highest degree term is 4x^3, so the polynomial also contains a term of degree 3.
The next highest degree term is 3x^2, so the polynomial also contains a term of degree 2.
The final term, 11, is a constant term and does not have a variable raised to any power, so it does not contribute to the degree of the polynomial.
Therefore, the polynomial -6x^5 + 4x^3 + 3x^2 + 11 is classified as a fifth-degree polynomial.
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