If the polynomials and leave the same remainder when divided by , Find the value of .
Step 1: Determine the value of
Take
.
On dividing and by gives the same remainder.
is a factor of and .
Step 2: Equate the functions
By the remainder theorem, the remainder of when divided by is
So, the remainder of when divided by is
and the remainder of when divided by is
Now, since the remainder of and when divided by is equal
,
Hence, the value of is .