How do you divide $(p^5+5p^3-11p^2-25p+29)div(p+6)$ using synthetic division?

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How do you divide $(p^5+5p^3-11p^2-25p+29)div(p+6)$ using synthetic division?

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Answer 1 · 2017-06-25T08:00:19

The remainder is $=-9073$ and the quotient is $=p^4-6p^3+41p^2-257p+1517$

Explanation:

Let's perform the synthetic division

$color(white)(aaaa)$ $-6$ $color(white)(aaaa)$ $|$ $color(white)(aaaa)$ $1$ $color(white)(aaaa)$ $0$ $color(white)(aaaaa)$ $5$ $color(white)(aaaa)$ $-11$ $color(white)(aaaa)$ $-25$ $color(white)(aaaa)$ $29$
$color(white)(aaaaaaaaaaaa)$ _________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $color(white)(aaa)$ $-6$ $color(white)(aaaa)$ $36$ $color(white)(aaa)$ $-246$ $color(white)(aaaa)$ $1542$ $color(white)(aa)$ $-9102$
$color(white)(aaaaaaaaaaaa)$ ________

$color(white)(aaaa)$ $color(white)(aaaaaaa)$ $|$ $color(white)(aaaa)$ $1$ $color(white)(aa)$ $-6$ $color(white)(aaaa)$ $41$ $color(white)(aaa)$ $-257$ $color(white)(aaaa)$ $1517$ $color(white)(aa)$ $color(red)(-9073)$

The remainder is $=-9073$ and the quotient is $=p^4-6p^3+41p^2-257p+1517$

$(p^5+5p^3-11p^2-25p+29)/(p+6)=p^4-6p^3+41p^2-257p+1517-9073/(p+6)$

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How do you divide $(p^5+5p^3-11p^2-25p+29)div(p+6)$ using synthetic division?

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Explanation:

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Science

Math

Humanities

... and beyond

How do you divide (p^5+5p^3-11p^2-25p+29)div(p+6)(p^5+5p^3-11p^2-25p+29)div(p+6) using synthetic division?

1 Answer

Explanation:

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How do you divide $(p^5+5p^3-11p^2-25p+29)div(p+6)$ using synthetic division?