
The polynomial 8 is of degree?
Answer
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Hint – In this question use the concept that the degree of a polynomial is the highest power of its monomials terms or the highest power of the terms involving variables only, 8 can be written as , use the definition along with this concept to get the answer.
Complete step-by-step answer:
The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.
The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
For example:
It is a second degree quadratic equation.
So the given expression is a non-zero constant which is 8.
And we all know this is not a variable.
So for non-zero constants the degree is zero (0).
So 8 is polynomial of degree 0.
So this is the required answer.
Hence option (D) is correct.
Note – The key point here in definition was that only the non-zero variables terms need to be taken into consideration, just as we did for 8. The degree of a cubic polynomial is 3 as it is of the form , and the highest power involving the variable term that is for x is 3.
Complete step-by-step answer:
The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.
The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
For example:
It is a second degree quadratic equation.
So the given expression is a non-zero constant which is 8.
And we all know this is not a variable.
So for non-zero constants the degree is zero (0).
So 8 is polynomial of degree 0.
So this is the required answer.
Hence option (D) is correct.
Note – The key point here in definition was that only the non-zero variables terms need to be taken into consideration, just as we did for 8. The degree of a cubic polynomial is 3 as it is of the form
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