If a polynomial is divided by (x-a) and the remainder equals zero then (x -a) is a factor of the polynomial. true or false

I believe the correct answer is true. If a polynomial is divided by (x-a) and the remainder equals zero then (x -a) is a factor of the polynomial. This is called the factor theorem. It is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.