+0  
 
0
177
1
avatar+3027 

Help.

NotSoSmart  Jan 3, 2018
edited by NotSoSmart  Jan 3, 2018
 #1
avatar+88871 
+1

If we add  the coefficients  and the constant term and get 0,  then 1 is a root

 

So....this is true

 

Using synthetic division, we can reduce the polynomial......

 

 

1   [   1      3       3       - 3      -  4  ]

                 1       4        7          4

      ________________________

        1       4      7         4         0

 

So......the remaining polynomial is

 

x^3  +  4x^2  +  7x  +  4

 

Note  that  if we sub  - 1  into  this,  we get  0

 

So......the rational  roots are    1  and -1

 

 

 

cool cool cool

CPhill  Jan 3, 2018

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