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Mathematics 8 Online
OpenStudy (darkbluechocobo):

Synthetic division

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

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

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

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

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

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

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

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

ganeshie8 (ganeshie8):

watch that khan video, its very good one

OpenStudy (darkbluechocobo):

Hokay will do

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