Question

find the excluded value of the rational expression. x³+8/x²-2x-8​

Answer 1

x^2-2x-8=0. when we solve using factor tree method it becomes (x-4) (x+2) then the value of x is 4 or -2

Answer 2

Answer: The solution is the excluded value of the rational expression is 4 and -2.

Step-by-step explanation:

A simplified rational expression is one where the numerator and denominator have no common factors. In order to simplify an expression to lowest terms, we factor the numerator and denominator as much as we can and cancel common factors from the numerator and the denominator.

The excluded value(s) of a rational expression is (are) the value(s) of the variable that makes the denominator equal to zero, because dividing by zero is undefined.

So in this case, the denominator is x²-2x-8. To find the excluded value(s) of the rational expression, we need to find the value(s) of x that make the denominator equal to zero.

x²-2x-8 = (x-4)(x+2) = 0

x-4 = 0 and x+2 = 0

So the excluded values of the rational expression are x = 4 and x = -2

Hence the solution is the excluded value of the rational expression is 4 and -2.

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