How do you divide $\frac{x^{3} - x^{2} + 4 x + 4}{x + 2}$ $(x^3-x^2+4x+4) / (x+2)$ using polynomial long division?

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How do you divide $\frac{x^{3} - x^{2} + 4 x + 4}{x + 2}$ $(x^3-x^2+4x+4) / (x+2)$ using polynomial long division?

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Answer 1 · 2018-06-21T06:24:58

What do you have to multiply x by to get $x^{3}$ $x^3$ ?
$x^{2} (x + 2) = x^{3} + 2 x^{2}$ $x^2(x+2)=x^3+2x^2$ subtract this from the polynomial, bring down the next term,
answer: $x^{2} - 3 x + 10 + \frac{- 16}{x + 2}$ $x^2-3x+10+(-16)/(x+2)$

Explanation:

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What do you have to multiply x by to get $x^{3}$ $x^3$ ?
$x^{2} (x + 2) = x^{3} + 2 x^{2}$ $x^2(x+2)=x^3+2x^2$ subtract this from the polynomial, bring down the next term,
REMEMBER YOU ARE SUBTRACTING POLYNOMIALS! Distribute the - sign.
What do you have to multiply x by to get $- 3 x^{2}$ $-3x^2$ ? -3x
$- 3 x (x + 2) = - 3 x^{2} - 6 x$ $-3x(x+2)=-3x^2-6x$ subtract this from the remaining polynomial.
Continue till you can divide no more.

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How do you divide $\frac{x^{3} - x^{2} + 4 x + 4}{x + 2}$ $(x^3-x^2+4x+4) / (x+2)$ using polynomial long division?

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Explanation:

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How do you divide x3−x2+4x+4x+2(x^3-x^2+4x+4) / (x+2) using polynomial long division?

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Explanation:

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How do you divide $\frac{x^{3} - x^{2} + 4 x + 4}{x + 2}$ $(x^3-x^2+4x+4) / (x+2)$ using polynomial long division?