Question

Divide. Pleeeease help, I'm desperate.

Answer 1

\[(x^{3}-3x ^{2}+2)\div(x-1)\]

Answer 2

it is almost impossible to write division here
do you know synthetic division?

Answer 3

no, I don't understand it

Answer 4

list the coefficients of \(x^3-3x^2+0x+2\) they are
1 -3 0 2

Answer 5

then since you are dividing by \(x-1\) put a \(1\) on the side

1 -3 0 2
1
_______________

Answer 6

drop down the first 1
1 -3 0 2
1
_______________
1

Answer 7

then multiply 1 times 1 (not much to that) and put it under the -3
1 -3 0 2
1 1
_______________
1

Answer 8

add -3 + 1 = -2 and drop that down
1 -3 0 2
1 1
_______________
1 -2

Answer 9

then 1 times -2 is -2
1 -3 0 2
1 1 -2
_______________
1 -2

Answer 10

add 0 + -2 = -2
1 -3 0 2
1 1 -2
_______________
1 -2 -2

Answer 11

1 times -2 is -2
1 -3 0 2
1 1 -2 -2
_______________
1 -2 -2

Answer 12

add 2-2=0
so there is no remainder

Answer 13

you are dividing a polynomial of degree 3 by a polynomial of degree 1 leaving a polynomial of degree 2
the coefficients are 1, -2 , -2 so your answer is \(x^2-2x-2\)

Answer 14

how would I do \[2x ^{3}+10x ^{2}+8x)\div(x+4)\] ? do I just put 2 on the bottom instead of 1? @satellite73