Question

Divide the polynomial x^4+5x^3-2x^2-30x-24 by the binomial x^2-1

Answer 1

To divide the polynomial

`x^4+5x^3-2x^2-30x-24`

by

`x^2-1`

Therefore,

`\frac{x^4+5x^3-2x^2-30x-24}{x^2-1^{}}=x^2+5x-1+(-25x-25)/(x^2-1)`

The quotient is

`x^2+5x-1`

The remainder is

`-25x-25`