Use synthetic division to find p(-3) for p(x)=x^4-4x+4 show your work

By the polynomial remainder theorem, the remainder of upon dividing by is equal to the value of .

Synthetic division yields

-3   |   1    0    0     -4     4

.      |       -3    9   -27   93

- - - - - - - - - - - - - - - - - - -

.      |   1   -3    9   -31    97

which translates to

Then when , the first term on the right side vanishes and we have .

right

step-by-step explanation: