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OpenStudy (anonymous):
Help please, Divide
(x³-x+8) / (x-2)
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OpenStudy (anonymous):
x^3-x+8=x^3-2x^2+2x^2-4x+3x-6+14
=x^2(x-2)+2x(x-2)+3(x-2)+14=(x^2+2x+3)(x-2)+14
(x^3-x+6)/(x-2) =x^2+2x+3+[14/(x-2)]
OpenStudy (anonymous):
...huh?
OpenStudy (anonymous):
what?
OpenStudy (anonymous):
im trying to writ this down on paper but... you lost me @ the second step
OpenStudy (anonymous):
see i have rewrite the expression so that i can take (x-2) common.
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OpenStudy (anonymous):
see you have to divide with x-2
OpenStudy (anonymous):
i have introduced -2x^2 to make with x^3 as x^2(x-2). and i have add 2x^2 to nullify it...
OpenStudy (anonymous):
i have written -x as -4x+3x. and 8 as -6 +14.
OpenStudy (anonymous):
ghhosst.............
OpenStudy (anonymous):
have you now understood.
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OpenStudy (amistre64):
x^2 +2x +3
--------------
x-2 | x^3 -x +8
-x^3 +2x^2
-----------
2x^2 -x +8
-2x^2 +4x
------------
3x +8
-3x +6
--------
14 <- remainder
OpenStudy (anonymous):
yea :) i c
OpenStudy (anonymous):
the way it was written just threw me off, but i see how its done now thank you :)
OpenStudy (anonymous):
how did yu get x^2 +2x +3 ?
OpenStudy (anonymous):
simply we divided
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OpenStudy (anonymous):
nvm.. yu put the answer on the top. cool
OpenStudy (anonymous):
see i had
x^3-x+8=x^2(x-2)+2x(x-2)+3(x-2)+14=(x^2+2x+3)(x-2)+14
so taking (x-2 common from the first three terms i have (x^2+2x +3)(x-2)
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