Question

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

Answer 1

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

Answer 2

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

Answer 3

i got 14 ,, thats not in the options

Answer 4

oops the coefficient of x^2 should be 6

Answer 5

no,, still i got 14

Answer 6

I got 230...

Answer 7

Agreed on 230.

Answer 8

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

Answer 9

quotient is \[4x^3-7x^2+27x-74\] with remainder 230