A student simplified a rational expression as
shown.
205x2
1²+x-6
=
=
=
5(4-x²)
(x-2)(x + 3)
5(2-x)(2 + x)
(x-2)(x+3)
5(x + 2)
(x + 3)
Which of the following mistakes did the student
make?
O The student did not factor the numerator
correctly.
The student could not divide out (2-x) and
(x-2) as written.
The student did not factor the denominator
correctly.
The student needed to simplify further by
dividing out x.