Question

How do you long divide `(4x^2 – 2x – 6) ÷ (x + 1)`?

Answer 1

Quotient = 4 x - 6 and remainder = `0`.

Explanation:

The numerator is `4 (x + 1)^2 - 10 ( x + 1 )`

`(4x^2-2x-6)/(x+1)`

`(4x(x+1)-4x-2x-6)/(x+1)`
`(4x(x+1)-6(x+1))/(x+1)=4x-6`