Find the remainder of the division problem shown below.
(x^4+x^3-3x-3)÷(x-2)

Question

amistre64 · Answer

all it takes is for yoo to do longhand division; do they still teach that in schools?

anonymous · Answer

replace x by 2 and that will be your remainder.  you do not have to divide

amistre64 · Answer

you dont HAVE to; but you can :)

amistre64 · Answer

synthetic pops out a good show too

anonymous · Answer

$$2^4+2^3-3\times 2-3=15$$

anonymous · Answer

@amistre synthetic is same as evaluating polynomial

anonymous · Answer

(x^4+x^3-3x-3)÷(x-2)
x-2=0
x=2
f(x)=x^4+x^3-3x-3
f(2)=2^4+2^3-3(2)-3
f(2)=16+8-6-3=15

anonymous · Answer

so for next time i just plug in what ever number is in the problem that is doing the dividing?

anonymous · Answer

yes

amistre64 · Answer

1 1  0 -3  -3 
   0 2  6 12 18
   -----------
2| 1 3 6  9  15  <-- remainder of 15/(x-2)

anonymous · Answer

would the answer change if it was (x+2)?