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Mathematics 7 Online
OpenStudy (anonymous):

can someone show me the first step of polonomial divison

OpenStudy (anonymous):

(n – 8) / n3 + 3 n2 + 2 n – 720

OpenStudy (amistre64):

your under is a greater degree than your top .... might want to see if n-8 is a factor of the bottom

OpenStudy (amistre64):

the first step of poly division is the same first step in dividing numbers .... and the rest of the steps are the same as well since division is division

OpenStudy (anonymous):

how do you divide (n-8) by n^3

OpenStudy (amistre64):

you dont ... unless youre looking for alot of fractions ....

OpenStudy (amistre64):

to see if n-8 is a factor of both the top and bottom, let n=8 and see if the bottom zeros out

OpenStudy (anonymous):

can u demonstate

OpenStudy (amistre64):

----------------- \(n-8\) | \(n^3 + 3 n^2 + 2 n – 720\) your first value should be the division of the first terms ... \(n^3/n=n^2\) then we subtract the results of\(:n^2(n-8\)) \(n^2\) ----------------- \(n-8\) | \(n^3 + 3 n^2 + 2 n – 720\) \(-(n^3-8n^2)\) --------- \(11n^2+2n-720\) and repeat the process

OpenStudy (amistre64):

demonstrate if n=8 is a zero? \[n^3 + 3 n^2 + 2 n – 720\] \[(8)^3 + 3 (8)^2 + 2(8) – 720~:~\text{does it equal zero?}\]

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

wont it equal - 5n^2

OpenStudy (amistre64):

wont WHAT equal -5n^2?

OpenStudy (anonymous):

3n^2 - 8n^2

OpenStudy (amistre64):

oh, your looking at the longhand division setup .... no, look closer; this is just the same division process you learned back in the 5th grade. We are subtracting the result of the multiplication ... \[\text{multiply: }n^2(n-8)=n^3-8n^2\] \[\text{now we subtract: }-(n^3-8n^2)=-n^3+8n^2\] working like terms .... \(3n^2+8n^2 = 11n^2\)

OpenStudy (anonymous):

oh yeah

OpenStudy (anonymous):

here is what i have

OpenStudy (anonymous):

|dw:1375101287515:dw|

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