For what values of x is the rational expression below undefined?
check all that apply.
x+8/x^2-2x-24
a. -6
b. -8
c. 8
d. 6
e. 4
f. -4

The correct options are D and F.

Step-by-step explanation:

The given expression is

The given expression is undefined if the value of denominator is equal to 0.

Equate the denominator value equal to 0.

The middle term can be written as -6x+4x.

Equate each factor equal to 0.

Therefore the given expression is undefined at x=6 and x=-4. Options D and F are correct.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.