can someone show me the first step of polonomial divison
(n – 8) / n3 + 3 n2 + 2 n – 720
your under is a greater degree than your top .... might want to see if n-8 is a factor of the bottom
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
how do you divide (n-8) by n^3
you dont ... unless youre looking for alot of fractions ....
to see if n-8 is a factor of both the top and bottom, let n=8 and see if the bottom zeros out
can u demonstate
----------------- \(n-8\) | \(n^3 + 3 n^2 + 2 n – 720\) 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
demonstrate if n=8 is a zero? \[n^3 + 3 n^2 + 2 n – 720\] \[(8)^3 + 3 (8)^2 + 2(8) – 720~:~\text{does it equal zero?}\]
yes
wont it equal - 5n^2
wont WHAT equal -5n^2?
3n^2 - 8n^2
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 .... \(3n^2+8n^2 = 11n^2\)
oh yeah
here is what i have
|dw:1375101287515:dw|
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