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dietrich_harmon
 3 years ago
Is the difference of two polynomials always a polynomial? Explain.
dietrich_harmon
 3 years ago
Is the difference of two polynomials always a polynomial? Explain.

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

Shadowys
 3 years ago
Best ResponseYou've already chosen the best response.0the two expressions are polynomials rite?

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

dietrich_harmon
 3 years ago
Best ResponseYou've already chosen the best response.0so the answer is

Shadowys
 3 years ago
Best ResponseYou've already chosen the best response.0It is shown that it's no.

LogicalReason
 3 years ago
Best ResponseYou've already chosen the best response.0Hmm ... I believe that integers are polynomials. An integer is simply a polynomial of degree zero.

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

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

findme
 3 years ago
Best ResponseYou've already chosen the best response.2degree is nonnegative, so it can be 0 degree
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