Polynomial Remainders
Lesson · Intermediate
Algebra: Polynomials
Find the remainder when
is divided by
Non-efficient way: Long Division

and we don't need to know the quotient
Efficient way: Set the divisor equal to 0
Find the remainder when
is divided by
Don't say , the remainder can have since
Find the remainder when
is divided by
Find the remainder when
is divided by
APPROACH 1
APPROACH 2
is a polynomial that when divided by and , the remainders are and , respectively. Find the remainder when is divided by
When divided by
For finding the remainder
Only use , don't use
can have , use for powers of that are at least 2