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. [tex](14x-2)3(x-2)=14 x^{2} -90x+10[/tex]. The result is still a polynomial; therefore, answer A is incorrect.
B. [tex] \frac{(14x-2)}{3(x-2)} = \frac{14}{3} [/tex] with a remainder of 26. The result is not a polynomial anymore; therefore, B is the correct answer.
C. [tex](14x-2)+3(x+2)=17x+4[/tex]. The result is still a polynomial; therefore, answer C is incorrect.
D. [tex](14x-2)+3(x+2)=17x+4[/tex]. The result is still a polynomial; therefore, answer D is incorrect.
