Question

Which of the following is the quotient of the rational expressions shown

below? Make sure your answer is in reduced form.

Answer 1

Answer: A

Explanation:

Answer 2

A.
`(7x^2)/(6x - 10)`

Explanation:

To get the quotient, which is the result of

What we get by dividing the above, we would turn the divisor upside down, while the division sign would change to multiplication. This rule applied is known as "multiplying by the reciprocal".

`(7x^2)/(2x + 6)` ÷
`(3x - 5)/(x + 3)`

`(7x^2)/(2x + 6) * (x + 3)/(3x - 5)` => multiplying by the reciprocal.

`(7x^2)/(2(x + 3)) * (x + 3)/(3x - 5)`

`(7x^2)/(2) * (1)/(3x - 5)` => (x + 3) cancels (x + 3)

`(7x^2(1))/(2(3x - 5))`

`(7x^2)/(6x - 10)`

Quotient =
`(7x^2)/(6x - 10)`