Question

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

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

Answer 1

very hard to write synthetic division here but i will try

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

Yes that was correct, Thank You!

Answer 7

imagine!
yw