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# C4 remainder theorem question Watch

1. The question i'm struggling with is 'Find the value of k if the remainder when x^3+4x^2+kx+3 is divided by 3x-2 is 5.' Could anyone tell me the answer (and possibly their workings)? Thanks
2. Using the remainder theorem, f(2/3)=5 where f(x)=x^3+4x^2+kx+3. Use this information to solve for k.
3. (Original post by rachelbutler)
The question i'm struggling with is 'Find the value of k if the remainder when x^3+4x^2+kx+3 is divided by 3x-2 is 5.' Could anyone tell me the answer (and possibly their workings)? Thanks
Do you know how the remainder theorem works?
4. Oh okay, so do you just substitute 2/3 in and put it =5 and rearrange to find k?
5. (Original post by rachelbutler)
Oh okay, so do you just substitute 2/3 in and put it =5 and rearrange to find k?
Do you understand why you need to do this
6. sort of.. you know there's a remainder of 5 so when you divide by 3x-2 it has to =5.
7. (Original post by rachelbutler)
sort of.. you know there's a remainder of 5 so when you divide by 3x-2 it has to =5.
Hmmmm

Do you know why you are using 2/3
8. not entirely, something to do with 3x-2=0 and finding that x=2/3
9. (Original post by rachelbutler)
not entirely, something to do with 3x-2=0 and finding that x=2/3
Yes, that is why
10. okay, thank you for your help! It is appreciated

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