Question

Which one of the following is not closed under the operation being performed

Answer 1

Remember that polynomials are closed under addition, subtraction, and multiplication, but they are not closed under division. The only division you have there is B; therefore the correct answer is B.

A.
`(14x-2)3(x-2)=14 x^(2) -90x+10`. The result is still a polynomial; therefore, answer A is incorrect.

B.
`((14x-2))/(3(x-2)) = (14)/(3)` with a remainder of 26. The result is not a polynomial anymore; therefore, B is the correct answer.

C.
`(14x-2)+3(x+2)=17x+4`. The result is still a polynomial; therefore, answer C is incorrect.

D.
`(14x-2)+3(x+2)=17x+4`. The result is still a polynomial; therefore, answer D is incorrect.