Algebra Practice Test: Remainder Theorem — Flashcards

The remainder theorem is a method for dividing polynomials using Euclidean division. It states that when a polynomial, f(x), is divided by a linear polynomial, x - a, the remainder of that division will be equivalent to f(a). 

The remainder theorem can be used to:
Factor polynomials of any degree
Determine if a value is a root of a polynomial 
The factor theorem is a special case of the remainder theorem. The factor theorem states that if f(a) = 0, then the binomial (x). 

Some properties of the remainder theorem include:
The remainder is always less than the divisor
If the remainder is 0, then the number is perfectly divisible by the divisor
If one number (divisor) divides the other number (dividend) completely, then the remainder is 0