Consider . Which of the following statements is…

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Consider

q(x)=\dfrac{x^{2}-4}{x-2}

. 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