Yes.
p(x) = 5 is polynomial of zero degree.
It is equal to sum of polynomials, for example,
P'(x) = x² and
P''(x) = -x² + 5.
P' + P'' = 5
If you want that sum of any two polynomials would be also polynomial, then you must include polynomials of zero degree (i.e. constants) too.
It ensures that the set of all polynomials forms what is called 'ring'.
2007-08-29 04:51:38
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answer #1
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answered by Alexander 6
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Actually Yes. It can be said to be a constant polynomial. This, however, is arguable - some people consider it far too simple to be a polynomial...
Think, it this way: 5 = 5*x^0
**** Edit ****
Btw, polynomials with 1 & 2 terms exist (called monomials and binomials respectively).
I will completely agree with the ring justification (dispite referring to a more "advanced" algebra). In fact, the existence of a ring also requires a unique zero element, i.e. the zero polynomial or simplier 0. Since 0 is polynomial, why not 5 therefore?
2007-08-29 11:59:26
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answer #2
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answered by Christos :) 2
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No, 5 is considered a constant because it is a number, and not followed by a variable. A polynominal must contain 3 or more terms.
2007-08-29 11:52:34
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answer #3
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answered by BooBoo16 1
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No. Polynomials are expressions with more than one variable or constant. "h + 15c + x^2" is a polynomial; "13" or "42" or "5+1" are not.
2007-08-29 11:49:15
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answer #4
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answered by guardianangelz 4
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No. It's only 1; poly comes from the Greek root which means many and mono, one. 5 can be monomial in this sense.
2007-09-02 06:55:16
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answer #5
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answered by Jun Agruda 7
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No.
And even as people have tried here to put it in the form of a "monomial", that is still not a polynomial.
The real correct answer would be NO, but it can be a form of a constant monomial...........
..
2007-08-29 11:44:01
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answer #6
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answered by muddypuppyuk 5
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No, a polynomial is something with two or more terms.
Examples Include:
x^2+3
4x-2
x^2-6x+7
Etc...
2007-08-29 11:50:23
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answer #7
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answered by currie_13 2
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