Posted by **hayley** on Monday, January 14, 2008 at 3:08am.

i'm really not sure how to do this question.

(3x+2k)^3+(4x-7)^2 has a remainder of 33 when divided by x-3. find k.

i tried to expand the expression, but i don't get a polynomial, so how do i apply the remainder theorem? i would really appreciate it if anyone could tell me how to solve this question! thanks!

- the remainder theorem - Please Help!! -
**Reiny**, Monday, January 14, 2008 at 8:42am
You do not have to expand it,

the remainder theorem would say here that

f(3) = 33, so

(9+2k)^3 + (12-7)^2 = 33

(9+2k)^3 = 8 , take the cube roo

9+2k = 2

2k = -7

k = -7/2

- DIVIDE -
**MESMARIAH**, Tuesday, December 10, 2013 at 4:46pm
8 DIVIDED BY 200

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