Question

which of the following demonstrate closure in a polynomial? Select all that apply: A.(x^2+2) (x-1) B.(x^2+2) over (X -1) C.(x+1) plus (X^2-3X -2) D.(X +5)-(3X +6) E.4/8x

Answer 1

Any arithmetic operation on polynomials except division* will result in a polynomial. Appropriate choices are ...

A. (x^2+2) (x-1)

C. (x+1) plus (X^2-3X -2)

D. (X +5)-(3X +6)

E. (4/8)x . . . . . but not if you mean 4/(8x)

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* For division, the result may be a polynomial. In the specific example given here for B, it is not.