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

Aug 1, 2018

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

#### Explanation:

$\text{ "-3 " "| " " 2" " 4 " "-3 " } - 6$
$\text{ " | " " darr -6 " " 6 " } - 9$
$\text{ } | - - - - - - - - -$

$\text{ "2 " "-2" " 3 " } - 15$
$\text{ } | - - - - - - - - -$

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