anonymous
  • anonymous
Is the difference of two polynomials always a polynomial? Explain.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Lilith
anonymous
  • anonymous
take this \(x^2 +x+2\) and \(x^2 +x+4\) are their difference a polynomial?
anonymous
  • anonymous
?

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anonymous
  • anonymous
the two expressions are polynomials rite?
anonymous
  • anonymous
yes
anonymous
  • anonymous
but subtracting the second from the first, gives us an integer, which is not a polynomial. This is a counter example
anonymous
  • anonymous
so the answer is
anonymous
  • anonymous
It is shown that it's no.
anonymous
  • anonymous
actually it is yes
anonymous
  • anonymous
Hmm ... I believe that integers are polynomials. An integer is simply a polynomial of degree zero.
anonymous
  • anonymous
well, it seems so...though that would means any expression is a polynomial as long as the degree is a positive integer
anonymous
  • anonymous
f(x)=0 f(x)=-3 are both polynomials to get the definition of polynomial: http://en.wikipedia.org/wiki/Polynomial
anonymous
  • anonymous
degree is non-negative, so it can be 0 degree

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