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Is the difference of two polynomials always a polynomial? Explain.
 one year ago
 one year ago
Is the difference of two polynomials always a polynomial? Explain.
 one year ago
 one year ago

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ShadowysBest ResponseYou've already chosen the best response.0
take this \(x^2 +x+2\) and \(x^2 +x+4\) are their difference a polynomial?
 one year ago

ShadowysBest ResponseYou've already chosen the best response.0
the two expressions are polynomials rite?
 one year ago

ShadowysBest ResponseYou've already chosen the best response.0
but subtracting the second from the first, gives us an integer, which is not a polynomial. This is a counter example
 one year ago

dietrich_harmonBest ResponseYou've already chosen the best response.0
so the answer is
 one year ago

ShadowysBest ResponseYou've already chosen the best response.0
It is shown that it's no.
 one year ago

LogicalReasonBest ResponseYou've already chosen the best response.0
Hmm ... I believe that integers are polynomials. An integer is simply a polynomial of degree zero.
 one year ago

ShadowysBest ResponseYou've already chosen the best response.0
well, it seems so...though that would means any expression is a polynomial as long as the degree is a positive integer
 one year ago

findmeBest ResponseYou've already chosen the best response.2
f(x)=0 f(x)=3 are both polynomials to get the definition of polynomial: http://en.wikipedia.org/wiki/Polynomial
 one year ago

findmeBest ResponseYou've already chosen the best response.2
degree is nonnegative, so it can be 0 degree
 one year ago
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