Consider q(x)=x−2x2−4. Which of the following statements is correct?
a) q(x) simplifies to x+2 and is a polynomial of degree 1 defined for all real x.
b) q(x) simplifies to x+2 and is a constant polynomial of degree 0.
c) q(x) simplifies to x+2, but it is NOT considered a polynomial because x=2 is excluded from its domain.
d) q(x) cannot be simplified and is a rational function that is a polynomial of degree 2.