Answer:
[tex]x^2-9[/tex]
Step-by-step explanation:
We are given the following expression and we are to divide it:
[tex] \frac { x ^ 4 - x ^ 2 - 6 } { x ^ { 2 } + 8 } [/tex]
We divide the first term [tex]x^4[/tex] by [tex]x^{2}+8[/tex] and get [tex]x^{2}[/tex] in the quotient so then we are left with [tex]-9x^{2} -6[/tex].
Further [tex]-9x^{2} -6[/tex] is divided by [tex]x^{2}+8[/tex] to get [tex]-9[/tex] in the quotient and we are left with 66 as the remainder.
So we get the quotient [tex]x^2-9[/tex] and remainder [tex]66[/tex].
