Question

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

Answer 1

Answer:

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