In the previous article, we learnt what are polynomials? In this article, we will be covering degree of the polynomials?
Degree of polynomial is equal to the greatest exponent present in the polynomial. We will cover this with the help of examples. Let’s write some polynomials.
(i)
(Greatest exponent in this polynomial is 7. Hence, the degree of this polynomial is equal to 7.)
(ii)
(Greatest exponent in this polynomial is 5. Hence, the degree of this polynomial is equal to 5.)
(iii)
(It is not even a polynomial. So, there is no point talking about its degree. If, your answer was -3 for this part then you need to review last article GMAT prep: What are the polynomials?
(iv) 5
(This is a constant polynomial. 5 can also be written as
. It means that the degree of constant polynomial is always equal to 0.)
(v)
(Greatest exponent in this polynomial is 10. Hence, the degree of this polynomial is equal to 10.)
(vi)
(Greatest exponent in this polynomial is 1. Hence, the degree of this polynomial is equal to 1.)
(vii)
(It is not a polynomial because 0.5 is not a whole number. In polynomials, every exponent must be a whole number.)
(viii) 0
It is the zero polynomial. Degree of zero polynomial is not defined because 0 can be written as
. We can write 0 in infinite possible ways. So, degree of zero polynomial is not defined.
At this point, you should be able to find the degree of given polynomial.
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