Question

What is the difference between remainder theorem and factor theorem?

Answer 1

HEY!!

REMAINDER THEORAM;- In remainder theroam the polynomial p(x)of degree n>1&a can be a non zero real no.When p(x)is divided by (x-a),then the remainder is p(a).
FACTOR THEROM;-In factor teoram let p(x)be a polyomial of degreen>1&let a be any real no. .

if (A)=0,THEN (X-A)IS A FACTOR of f(X).
IF (x-a)is a factor of f(x),thenf(a)=0

Answer 2

the remainder theorem tell us that for any polynomial f(x) , if you divide by binomial x-a , the remainder equal to value of f(a) . the factor theorem tell us that if a is zero of a polynomial f(x) , then (x-a) is a factor of f(x)