The cost of one pen is given by the expression (2x^2 - x - 10) / (x^2 - x - 6).

The cost of one pen is undefined when x = ___.

The choices:

A. 3 and - 2

B. - 3 and 2

C. 3

A. 3 and - 2

Step-by-step explanation:

The cost of one pen is undefined when ...;

(2x^2 - x - 10) / (x^2 - x - 6) = 1/0 ... then interchange ... by putting the denominator as the numerator and numerator as the denominator on both sides of the equation, which then would give us ...;

(x^2 - x - 6) / (2x^2 - x - 10) = 0/1

Which then if simplified it would give us ...;

; (x^2 - x - 6) = 0 ... in which we simpilify the quadratic expression,

; (x - 3) (x + 2) = 0

Hence the choices of x ... are then solved by;

(x - 3) = 0 ... our first choice ... x = 3,

(x + 2) = 0 ... our second choice ... x = - 2