find the remainder when f(x)=4x^4 + 5x^3 + 6x^2 + 7x + 8 is divided by x+3

Question

campbell_st · Answer

well this question is a little difficult to understand as to whether you can use the remainder theorem or need to do polynomial division or synthetic division. 

for me, 

given x + 3    substitute x = -3 into the polynomial 

so 

$$f(3) = 4(-3)^4 + 5(-3)^3+ 5(-3)^2  + 7(-3) + 8$$

the answer is the remainder

anonymous · Answer

232,, 230,, 3x+1,, x-3
answer??

anonymous · Answer

i got 14 ,, thats not in the options

campbell_st · Answer

oops the coefficient of x^2 should be 6

anonymous · Answer

no,, still i got 14

campbell_st · Answer

I got 230...

whpalmer4 · Answer

Agreed on 230.

anonymous · Answer

yea 230 is correct,, i got that... i myself made few mistakes =P

whpalmer4 · Answer

quotient is $$4x^3-7x^2+27x-74$$ with remainder 230