Thread: Polynomial Division

if a is in Q how would i show that f(a) is the remainder after dividing the polynomial f(x) by (x-a)?

Originally Posted by stephanderson

if a is in Q how would i show that f(a) is the remainder after dividing the polynomial f(x) by (x-a)?

If [LaTeX ERROR: Convert failed] is a polynomial of degree in , dividing by leaves a quotient of degree with remainder (a constant). That is [LaTeX ERROR: Convert failed] . If you put , you will get .