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

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Answer 1 · 2018-08-01T02:07:53

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

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

$" "2 " "-2" " 3 " " -15$
$" " | - - - - - - - - -$

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

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