Use synthetic division and the Remainder Theorem to evaluate P( c ).

P(x) = x^7 - 3x^2 -1 , c=3

Question

Use synthetic division and the Remainder Theorem to evaluate P( c ).

P(x) = x^7 - 3x^2 -1  , c=3

anonymous · Answer

very hard to write synthetic division here but i will try

anonymous · Answer

coefficients of $p(x)=x^7-3x^2-1$ are 1 , 0 , 0 , 0, 0 , -3, 0, -1
notice you have to hold the place for all the missing terms

anonymous · Answer

Okay I see where I went wrong!
Thank you :)

anonymous · Answer

1    0    0    0    0    -3       0    -1
  3
               3    9   27   81  243   720   2160
____________________________
        1     3    9   27  81   240   720   2159

maybe this is right

anonymous · Answer

in this case it would be easier to evaluate directly i.e. take 
$$p(3)=3^7-3\times 3^2-1$$

anonymous · Answer

Yes that was correct, Thank You!

anonymous · Answer

imagine!
yw