Choose whether it's always, sometimes, never  an integer added to an integer is an integer a polynomial subtracted from a polynomial is a polynomial a polynomial divided by a polynomial is a polynomial a polynomial multiplied by a polynomial is a polynomial

1) an integer added to an integer is an integer - Always

(adding two integers always results in an integer, if the two integers are positive, their sum will be positive, if two integers are negative, they will yield a negative sum)

2) a polynomial subtracted from a polynomial is a polynomial - Always

(if the polynomials are subtracted vertically, then the signs of the subtracted polynomial's need to be flipped to their opposites)

3) a polynomial divided by a polynomial is a polynomial - Sometimes

(this depends on the degree of polynomials in the numerator and the denominator)

4) a polynomial multiplied by a polynomial is a polynomial - Always

(when two polynomials are added, the product function is the addition of degree to both the polynomials)

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