Question

How do you divide `(2x^3+4x^2-3x-6)div(x+3)` using synthetic division?

Answer 1

`color(blue)("Quotient " Q = 2 x^2 - 2x + 3, " Remainder " R = (-15) / (x + 3)`

Explanation:

`" "-3 " "| " " 2" " 4 " "-3 " " -6`
`" " | " " darr -6 " " 6 " " -9`
`" " | - - - - - - - - -`

`" "2 " "-2" " 3 " " -15`
`" " | - - - - - - - - -`

`color(blue)("Quotient " Q = 2 x^2 - 2x + 3, " Remainder " R = (-15) / (x + 3)`