Question

The remainder obtained when the polynomial f ( x ) = x

3 + x - 6 is divided by ( x - 2m)

is eight times the remainder obtained when the same polynomial is divided by ( x - m).

What is the value of 'm'?​

Answer 1

Answer:

By remainder theorem

f(x)=x

4

−3x

3

+ax

2

−27x+81

when divided by (x−3), remainder is

f(3)=3

4

−3

4

+3

4

−3

4

+81=81

∴R=81