How do you divide $(x^3+x^2-17x+15)div(x+5)$ using synthetic division?

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How do you divide $(x^3+x^2-17x+15)div(x+5)$ using synthetic division?

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Answer 1 · 2017-07-20T10:24:19

The remainder is $0$ and the quotient is $=x^2-4x+3$

Explanation:

Let's perform the synthetic division

$color(white)(aaaa)$ $-5$ $color(white)(aaaa)$ $|$ $color(white)(aaaa)$ $1$ $color(white)(aaaa)$ $1$ $color(white)(aaaaaa)$ $-17$ $color(white)(aaaaaaa)$ $15$
$color(white)(aaaaaaaaaaaa)$ _________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $color(white)(aaa)$ $-5$ $color(white)(aaaaaaa)$ $20$ $color(white)(aaaaaa)$ $-15$
$color(white)(aaaaaaaaaaaa)$ ________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaa)$ $1$ $color(white)(aaa)$ $-4$ $color(white)(aaaaaaaa)$ $3$ $color(white)(aaaaaaaa)$ $color(red)(0)$

The remainder is $color(red)(0)$ and the quotient is $=x^2-4x+3$

$(x^3+x^2-17x+15)/(x+5)=x^2-4x+3$

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How do you divide $(x^3+x^2-17x+15)div(x+5)$ using synthetic division?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do you divide (x^3+x^2-17x+15)div(x+5)(x^3+x^2-17x+15)div(x+5) using synthetic division?

1 Answer

Explanation:

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Impact of this question

How do you divide $(x^3+x^2-17x+15)div(x+5)$ using synthetic division?