How do you divide $(x^3-x^2-14x+25)div(x-3)$ using synthetic division?

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How do you divide $(x^3-x^2-14x+25)div(x-3)$ using synthetic division?

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Answer 1 · 2017-05-19T07:12:43

The remainder is $=1$ and the quotient is $=x^2+2x-8$

Explanation:

Let's perform the synthetic division

$color(white)(aaaa)$ $3$ $color(white)(aaaaa)$ $|$ $color(white)(aaaa)$ $1$ $color(white)(aaaaaa)$ $-1$ $color(white)(aaaaaa)$ $-14$ $color(white)(aaaaaaa)$ $25$
$color(white)(aaaaaaaaaaaa)$ _________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $color(white)(aaaaaaaa)$ $3$ $color(white)(aaaaaaaa)$ $6$ $color(white)(aaaaa)$ $-24$
$color(white)(aaaaaaaaaaaa)$ ________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $1$ $color(white)(aaaaaaa)$ $2$ $color(white)(aaaaaaa)$ $-8$ $color(white)(aaaaaaa)$ $color(red)(1)$

$(x^3-x^2-14x+25)/(x-3)=(x^2+2x-8)+1/(x-3)$

The remainder is $=1$ and the quotient is $=x^2+2x-8$

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How do you divide $(x^3-x^2-14x+25)div(x-3)$ using synthetic division?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do you divide (x^3-x^2-14x+25)div(x-3)(x^3-x^2-14x+25)div(x-3) using synthetic division?

1 Answer

Explanation:

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How do you divide $(x^3-x^2-14x+25)div(x-3)$ using synthetic division?