How do you divide $(x^{4} - 16) \div (x + 2)$ $(x^4-16)div(x+2)$ using synthetic division?

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How do you divide $(x^{4} - 16) \div (x + 2)$ $(x^4-16)div(x+2)$ using synthetic division?

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Answer 1 · 2018-01-28T13:12:42

$x^{3} - 2 x^{2} + 4 x - 8$ $color(blue)(x^3 -2x^2 + 4x -8)$

Explanation:

$- 2 a a ∣ a a a 1 a a a 0 a a a 0 a a a 0 a a - 16$ $-2 color(white)(aa)|color(white)(aaa)1color(white)(aaa)0color(white)(aaa)0color(white)(aaa)0color(white)(aa)-16$

$a a a a a a a a a ↓ - 2 a a a 4 - 8 a a a a a 16$ $color(white)(aaaaaaaaa)darr-2color(white)(aaa)4-8color(white)(aaaaa)16$

$a a a a - - - - - - - - - -$ $color(white)(aaaa)----------$

$a a a a a a a a a 1 a - 2 a a a 4 - 8 a a a a a a 0$ $color(white)(aaaaaaaaa)1color(white)(a)-2color(white)(aaa)4-8color(white)(aaaaaa)0$

$x^{3} - 2 x^{2} + 4 x - 8$ $color(blue)(x^3 -2x^2 + 4x -8)$

$x^{2} (x - 2) + 4 (x - 2)$ $x^2 (x-2) + 4 (x-2)$

$(x^{2} + 4) (x - 2)$ $(x^2 + 4) (x-2)$

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How do you divide $(x^{4} - 16) \div (x + 2)$ $(x^4-16)div(x+2)$ using synthetic division?

1 Answer

Explanation:

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How do you divide (x^4-16)div(x+2)(x4−16)÷(x+2)(x^4-16)div(x+2) using synthetic division?

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How do you divide $(x^{4} - 16) \div (x + 2)$ $(x^4-16)div(x+2)$ using synthetic division?