Question

Help

Answer 1

if you feel comfortable it would be a good idea to try the division, let me know if you get stuck

Answer 2

okY i got 4x^2-9x+7+x-2/x^2+x+1

Answer 3

yeah that's what I got too, well done

Answer 4

okay now for the list, if you are still available

Answer 5

@Vocaloid let me know when you are available

Answer 6

the x^2 would cancel out

Answer 7

actually for how many times x^2 goes in to the largest term in the problem,,, it would be 2 right?

Answer 8

To figure out how many times x^2 goes into 4x^4

Simply divide 4x^4 by x^2

Answer 9

4x^2

Answer 10

@Vocaloid

Answer 11

good, so x^2 goes into 4x^4, 4x^2 times

this goes on top of the division bar thing

Answer 12

then simply multiply 4x^2 by (x^2 + x +1) and write the result below the dividend

Answer 13

4x^4+4x^3+4x^2

Answer 14

good, so that goes below the dividend

Answer 15

then we subtract these two expressions like so:

Answer 16

sorry if that's a little messy

to figure out how many times x^2 + x + 1 goes into 9x^3 we repeat our reasoning from step 1

9x^3 divided by x^2 = ?

Answer 17

9x

Answer 18

good, so we write that at the top of the problem.

Answer 19

then we multiply again like we did in step 2

(-9x) * (x^2 + x + 1) = ?

Answer 20

-9x^3-9x^2-9x

Answer 21

good, now we write that below the problem and subtract again

Answer 22

again, from step 1, we find out how many times x^2 goes into 7x^2

7x^2 / x^2 = ?

Answer 23

7

Answer 24

good, bring that to the top of the problem (starting to run out of room hold on)

Answer 25

it would be +7 right after 9x

Answer 26

(i've omitted some steps from before to save time)

Answer 27

then again we multiply 7 * (x^2 + x + 1)

Answer 28

7x^+7x+7

Answer 29

good, and again, we bring that to the bottom

Answer 30

hm. I think i made a mistake somwhere since the remainder is supposed to be x - 2

Answer 31

hold on

Answer 32

sure

Answer 33

forgot to carry down the 5 sorry

^ that should be the solution