## KE8717504 3 years ago (-3x^3-3x^2+2x-4) / (x-1/3). Determine the remainder for the following using the remainder theorm. The remainder is different from 0 and is equal to??

1. jim_thompson5910

The remainder theorem is If P(x) is divided by x-k, then the remainder r is r = P(k)

2. jim_thompson5910

In this case, P(x) = -3x^3-3x^2+2x-4 and k = 1/3

3. KE8717504

ok so how would i work this. I've worked it once and it was wrong.

4. jim_thompson5910

P(x) = -3x^3-3x^2+2x-4 P(1/3) = -3(1/3)^3-3(1/3)^2+2(1/3)-4 Keep going

5. KE8717504

ok one second let me work it

6. jim_thompson5910

ok

7. KE8717504

i got -34/9

8. KE8717504

would that be the end result?

9. jim_thompson5910

-34/9 is the remainder, so you are correct

10. KE8717504

11. jim_thompson5910

yes

12. KE8717504

i want to ask another one u going to be here a second? did u check my work on that one?

13. jim_thompson5910

yes, -34/9 is the correct answer

14. KE8717504

It says to type it in as a simplifed fraction so would that be simplifed

15. KE8717504

?

16. jim_thompson5910

yes it's fully simplified, it's the final answer

17. KE8717504

i'm going to post another one will u help me on it?

18. jim_thompson5910

sure

19. KE8717504

I posted it . :)