Question

Define remainder theoram

Answer 1

According to Remainder theorm if a polynomial P(x) of degree greater than or equal to 1 is divided by a linear polynomial (xa) then the remainder will be P(a)        e.g  P(x) = x + 3x +3x +1 when divided by (x+1) then as per remainder theorm the remainder is given by 
P=(-­1) Remainder = P(­1) = ­1 + 3 ­ 3 +1 = 0

Answer 2

let f(x) be any polynomial of degree greater than or equal to one and 'alpha' be any real number.If the polynomial f(x) is divided by the linear polynomial  
(x - alpha), then the remainder is f(x). 

AND this is the statement of remainder theorem.