How do you find the quotient of $(2-x+x^2-x^3-x^4)div(x+2)$ using synthetic division?

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How do you find the quotient of $(2-x+x^2-x^3-x^4)div(x+2)$ using synthetic division?

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Answer 1 · 2018-06-29T16:10:36

The remainder is $0$ and the quotient is $=-x^3+x^2-x+1$

Explanation:

Let's perform the synthetic division

$color(white)(aaaa)$ $-2$ $|$ $color(white)(aaaa)$ $-1$ $color(white)(aaaa)$ $-1$ $color(white)(aaaaaa)$ $1$ $color(white)(aaaa)$ $-1$ $color(white)(aaaaaa)$ $2$

$color(white)(aaaaaaa)$ #|color(white)(aaaa)##color(white)(aaaaaaaa)2# $color(white)(aaaaa)$ $-2$ $color(white)(aaaaa)$ $2$ $color(white)(aaaa)$ $-2$

$color(white)(aaaaaaaaa)$ _________________________________________________________##

$color(white)(aaaaaaa)$ #|color(white)(aaaa)# $-1$ $color(white)(aaaaaa)$ $1$ $color(white)(aaaa)$ $-1$ $color(white)(aaaaa)$ $1$ $color(white)(aaaaaa)$ $color(red)(0)$

The remainder is $0$ and the quotient is $=-x^3+x^2-x+1$

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How do you find the quotient of $(2-x+x^2-x^3-x^4)div(x+2)$ using synthetic division?

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Explanation:

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How do you find the quotient of (2-x+x^2-x^3-x^4)div(x+2)(2-x+x^2-x^3-x^4)div(x+2) using synthetic division?

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Explanation:

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How do you find the quotient of $(2-x+x^2-x^3-x^4)div(x+2)$ using synthetic division?