Question

Which of the following statements accurately describes the expression x-2/x^2+9?

A) the quotient x-2 and x^2+9
B) the product x-2 and x^2+9
C) the quotient x^2+9 and x-2
D) the product x^2+9 and x-2

Answer 1

The quotient of x-2 and x²+9

Explanation:

Answer 2

The quotient of two numbers is the result of the division of the first listed number by the second listed number.

Also, the product of two numbers is the result of the multiplication of the first listed number and the second listed number.
But because, multiplication operation is comutative [the result is the same irrespective of which is listed first].
We can say that the product of two numbers is the result of the multiplication of the two numbers irrespective of which is listed first.

Given the expression

`(x-2)/(x^2+9)`
Here, x - 2 is being divided by
`x^2+9`.

Therefore, the accurate descripton of the given experession is the quotient [becuase of division] of x - 2 [the numerator or the dividend] and
`x^2+9` [the denominator or the divisor]
(option A).