X^5-2x^4
divided by
x^2+6x-16

determine what value(s), if any, of the variable must be excluded.

select the number of values that must be excluded.

x  ≠-8          x ≠ -2

Step-by-step explanation:

We cannot divide by zero, so the denominator cannot equal zero

X^2+6x-16≠0

Factor

(x+8) (x-2) ≠0

Using the zero product property

(x+8)  ≠0     (x-2) ≠0

x  ≠-8          x ≠ -2

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly.   ( on the x-axis, 1 on the line will possess a vertical line.)