Question

Using remainder theorem,find remainder when xpower3-6xpower2+2x-4divided by 1-2x

Answer 1

Answer:

The zero of g(x)=1−2x is x=

2

1

Now, by remainder theorem the remainder should be f(

2

1

)

∴f(

2

1

)=(

2

1

)

3

−6(

2

1

)

2

+2(

2

1

)−4

=(

8

1

)−6(

4

1

)+1−4

=(

8

1

)−(

4

6

)−3

=

8

1−12−24

=−

8

35