Question

How do you use polynomial long division to divide `(4x^2-x-23)div(x^2-1)` and write the polynomial in the form `p(x)=d(x)q(x)+r(x)`?

Answer 1

`p(x)=d(x^2-1)q(4x-1)+r(-23)`

Explanation:

`x^2-1-:4x^2-x-23`

do not forget placeholders!

`x^2+0x-1-:4x^2-x-23`

dividend: `(4x^2-x-23)`
divisor: `(x^2-1)`
quotient: `(4x-1)`
remainder: `-23`