Question

(x^4 – x^2 – 6) ÷ (x^2 + 8)

Answer 1

`x^2-9`

Explanation:

We are given the following expression and we are to divide it:

`\frac { x ^ 4 - x ^ 2 - 6 } { x ^ { 2 } + 8 }`

We divide the first term
`x^4` by
`x^(2)+8` and get
`x^(2)` in the quotient so then we are left with
`-9x^(2) -6`.

Further
`-9x^(2) -6` is divided by
`x^(2)+8` to get
`-9` in the quotient and we are left with 66 as the remainder.

So we get the quotient
`x^2-9` and remainder
`66`.

Answer 2

x² - 9 Remainder 66

Explanation:

Find the attachment below for a step by step explanation.