If x-1 – 1 is divided by x - 1 the quotient is:
Choose the most appropriate option:  A) 1  B) 1/(x-1)  C) - 1/(x-1)  D) 1/x,  E) – 1/x
Solution:   x-1 – 1 is divided by (x – 1)   = x-1 – 1 × 1/(x-1)   = 1/x – 1 × 1/(x-1)   = (1 – x/x) × 1/(x-1)   = - (1 – x)/x × 1/(x-1)   = – 1/x [cancel x – 1 from the numerator and denominator].   Answer: – 1/x
<result>E</result>
If x-1 – 1 is divided by x - 1 the quotient is: