+0

​ Synthetic division

0
198
4
+2448

Another one of these

Sep 19, 2018

#1
+101871
+2

Again...set   2r + 1  = 0   ⇒   r =  -1/2  ....this is what we need to divide by

[ note.....we need the  "placeholder" 0   to denote that there is no r^2 term...!!!]

-1/2  [  2      1       0       20      12    ]

-1      0        0       -10

________________________

2      0       0        20       2

The remainder,2,  is correct....

The apparent remaining polynomial is  2r^3  + 20

If we performed polynomial division....the first term would be r^3...as follows

r^3

2r + 1  [ 2r^4

-(2r^4)

_________

So...this indicates that we need to divide each term of the apparent  residual polynomal by 2, the get the correct answer of

r^3  + 10  R  [ 2 / (2r + 1) ]

Sep 19, 2018
edited by CPhill  Sep 19, 2018
#2
+2448
+1

Thank you I actually got this one haha

RainbowPanda  Sep 19, 2018
#3
+101871
+2

Excellent....!!!!

Are you beginning to see this  ???

CPhill  Sep 19, 2018
#4
+2448
+1

A little bit. Some problems are easier than others though..

RainbowPanda  Sep 19, 2018