Question
Sat May 12, 2012 By:

i am doubtful that degree of a polynomial is found by finding out the highest power of given polynomial... but in video lesson , in the given question, SIR/MA'AM you found out the highest power by adding three different variables.. why is it so , as degree of polynomial is found only by finding the highest power and how you have found the highest power by adding them?????????????????????????????????????

Expert Reply
Sun May 13, 2012

The degree of a polynomial is the highest degree of its terms, when the polynomial is expressed in canonical form (i.e. as a linear combination of monomials). The degree of a term is the sum of the exponents of the variables that appear in it . The word degree is now standard, but in some older books, the word order may be used instead.

For example, the polynomial has three terms. (Notice, this polynomial can also be expressed as .) The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5 which is the highest degree of any term.

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