Question

what is the difference b/w remainder theorem & factor theorem?

Answer 1

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