## anonymous one year ago What is the remainder of (2x3 − 18x + 5) ÷ (x − 3)? -5 5 2 3

1. anonymous

@Peaches15 can you help?

2. anonymous

4

3. Nnesha

x-5=0 solve for x and the substitute x in this 2x^3 − 18x + 5 equation for its value

4. Nnesha

or you can apply synthetic division

5. anonymous

it should be -5

6. anonymous

-5 is wrong i got it wrong the last time i tried it

7. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @Nnesha x-5=0 solve for x and the substitute x in this 2x^3 − 18x + 5 equation for its value $$\color{blue}{\text{End of Quote}}$$ correction: x-3=0

8. anonymous

would it be 3?

9. anonymous

ok clarify your equation 2x3 or 2x^3

10. anonymous

solve for this x-3=0 then x=3 put value of x in equation you will get answer

11. anonymous

sorry its 2x^3

12. Nnesha

yep so now substitute al x for 3$\huge\rm 2(3)^3-18(3)+5= ??$

13. anonymous

it's 5

14. anonymous

so 2-18+5=-11

15. anonymous

lol nah put value of x

16. anonymous

you will get 54-54+5=5

17. Nnesha

no substitute x for 3 just replace x

18. anonymous

oh okay i think i get it now

19. Nnesha

x for 3$\huge\rm 2(\color{reD}{3})^3-18(\color{reD}{3})+5= ??$

20. anonymous

when you are given like that divided by x-5 or x-3 etc then just put it equal to zero and get value of x put this value in equation you will get your answer

21. anonymous

good job Nnesha

22. Nnesha

or if you want to apply synthetic division then you need to write highest degree to smallest |dw:1438707198108:dw| 0 for 0x^2 it's not in the equation but we still have to write highest degree to smallest x^3,x^2 and then x

23. Nnesha

thanks.

24. anonymous

np

25. Nnesha

lol

26. anonymous

thanks

27. Nnesha

my pleasure

28. anonymous

welcome