How do you find the quotient of $(2x^3+7x^2-x+1)div(x+2)$ using synthetic division?

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How do you find the quotient of $(2x^3+7x^2-x+1)div(x+2)$ using synthetic division?

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Answer 1 · 2017-05-25T11:56:47

The quotient is $=2x^2+3x-7$

Explanation:

Let's perform the synthetic division

$color(white)(aaaa)$ $-2$ $color(white)(aaaaa)$ $|$ $color(white)(aaaa)$ $2$ $color(white)(aaaaaa)$ $7$ $color(white)(aaaaaa)$ $-1$ $color(white)(aaaaa)$ $1$
$color(white)(aaaaaaaaaaaa)$ _________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $color(white)(aaaaaa)$ $-4$ $color(white)(aaaaaa)$ $-6$ $color(white)(aaaa)$ $14$
$color(white)(aaaaaaaaaaaa)$ ________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $2$ $color(white)(aaaaaaa)$ $3$ $color(white)(aaaaaa)$ $-7$ $color(white)(aaaa)$ $color(red)(15)$

$(2x^3+7x^2-x+1)/(x+2)=(2x^2+3x-7)+15/(x+2)$

The remainder is $=15$ and the quotient is $=2x^2+3x-7$

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How do you find the quotient of $(2x^3+7x^2-x+1)div(x+2)$ using synthetic division?

1 Answer

Explanation:

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Humanities

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How do you find the quotient of (2x^3+7x^2-x+1)div(x+2)(2x^3+7x^2-x+1)div(x+2) using synthetic division?

1 Answer

Explanation:

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How do you find the quotient of $(2x^3+7x^2-x+1)div(x+2)$ using synthetic division?