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Which property of polynomial subtraction says that the difference of two polynomials is always a polynomial

Respuesta :

This would be the closure property.

The difference between [tex] (6x^3 + x^2 - 4x + 9) [/tex] and [tex] (6x^3 + x^2 - 4x + 7) [/tex] is 2 .

2 is a polynomial of degree 0, so this example would appear to support the hypothesis in the question.


We can see one more example

[tex] (2x^2 -3)-(3x^2 +4) = -x^2-7 [/tex]

So again we get a polynomial.


This property is called as the closure property.

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