Question

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

Answer 1

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

Answer 2

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

Answer 3

you dont HAVE to; but you can :)

Answer 4

synthetic pops out a good show too

Answer 5

\[2^4+2^3-3\times 2-3=15\]

Answer 6

@amistre synthetic is same as evaluating polynomial

Answer 7

(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

Answer 8

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

Answer 9

yes

Answer 10

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

Answer 11

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