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

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

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Answer 1 · 2018-08-01T02:07:53

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

Explanation:

$- 3 ∣ 24 - 3 - 6$ $" "-3 " "| " " 2" " 4 " "-3 " " -6$
$∣ ⏐ ↓ - 66 - 9$ $" " | " " darr -6 " " 6 " " -9$
$∣ - - - - - - - - -$ $" " | - - - - - - - - -$

$2 - 23 - 15$ $" "2 " "-2" " 3 " " -15$
$∣ - - - - - - - - -$ $" " | - - - - - - - - -$

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

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

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Explanation:

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How do you divide (2x3+4x2−3x−6)÷(x+3)(2x^3+4x^2-3x-6)div(x+3) using synthetic division?

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Explanation:

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