Mathematics
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OpenStudy (darkbluechocobo):
Synthetic division
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OpenStudy (darkbluechocobo):
OpenStudy (mathmath333):
x=-3
therefore (x+3) is a factor of f(x)
divide f(x) by (x+3)
OpenStudy (darkbluechocobo):
@mathmath333 liek that
OpenStudy (darkbluechocobo):
would the remainder be -164
OpenStudy (mathmath333):
the main thing is u have to do synthetic division
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OpenStudy (darkbluechocobo):
yes i got 1 7 4 8 -4
OpenStudy (mathmath333):
yes
OpenStudy (darkbluechocobo):
wait no i did that wrong i for got about the -3
OpenStudy (darkbluechocobo):
1 8 14 42 106
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OpenStudy (mathmath333):
yes -x^3(x+3)=-x^4-3x^3
OpenStudy (mathmath333):
-x^3 would be ur quotient
OpenStudy (mathmath333):
then u have to eliminate x^3 and so on
OpenStudy (darkbluechocobo):
erg this is hurting my brain T-T
ganeshie8 (ganeshie8):
-3 | 1 5 -10 0 -20
|
--------------------------------
1
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ganeshie8 (ganeshie8):
thats teh synthetic division setup, right ?
OpenStudy (darkbluechocobo):
Yes
ganeshie8 (ganeshie8):
simply carry out the steps :
1(-3) = -3 :
-3 | 1 5 -10 0 -20
| -3
--------------------------------
1
ganeshie8 (ganeshie8):
5+-3 = 2 :
-3 | 1 5 -10 0 -20
| -3
--------------------------------
1 2
ganeshie8 (ganeshie8):
2(-3) = -6 :
5+-3 = 2 :
-3 | 1 5 -10 0 -20
| -3 -6
--------------------------------
1 2
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ganeshie8 (ganeshie8):
keep going..
OpenStudy (darkbluechocobo):
ok
OpenStudy (darkbluechocobo):
-10+-6 -16
ganeshie8 (ganeshie8):
yes :
-3 | 1 5 -10 0 -20
| -3 -6
--------------------------------
1 2 -16
OpenStudy (darkbluechocobo):
then -16*3
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OpenStudy (darkbluechocobo):
-3*
OpenStudy (darkbluechocobo):
48?
ganeshie8 (ganeshie8):
yes write that in table
OpenStudy (ikram002p):
chocoobo from final fantasy O.O
OpenStudy (darkbluechocobo):
yes aha
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OpenStudy (darkbluechocobo):
-3 | 1 5 -10 0 -20
| -3 -6 48
--------------------------------
1 2 -16
OpenStudy (darkbluechocobo):
-3 | 1 5 -10 0 -20
| -3 -6 48
--------------------------------
1 2 -16 48
OpenStudy (darkbluechocobo):
-3 | 1 5 -10 0 -20
| -3 -6 48 -144
--------------------------------
1 2 -16 48 -164
OpenStudy (darkbluechocobo):
is taht right
ganeshie8 (ganeshie8):
Perfect !
look at the last row
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ganeshie8 (ganeshie8):
1 2 -16 48 `-164`
ganeshie8 (ganeshie8):
-164 is your remainder
OpenStudy (darkbluechocobo):
:d yay
ganeshie8 (ganeshie8):
`1 2 -16 48` -164
and the quitient is :
x^3+2x^2-16x+48
ganeshie8 (ganeshie8):
last row gives you both quotient and remainder
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ganeshie8 (ganeshie8):
watch that khan video,
its very good one
OpenStudy (darkbluechocobo):
Hokay will do