Question

Find the remainder when f(x)=x^3-6x^+2x-4is divided by (3x-1),and verify the result by actual division.​

Answer 1

Answer:

f(x)=x^3-6x^2+2x-4

g(x)=3x-1

3x-1)x^3-6x^2+2x-4(x^2/3-17x/9+1/27

x^3-x^2/3

(-) (+)

--------------------

-17x^2/3+2x

-17x^2/3+17x/9

(+) (-)

----------------------

x/9-4

x/9-1/27

(-) (+)

-----------------

-107/27

remainder=(-107/27)