Thread: polynomial help!!! really tough ques.

when a polnomial p(x) is divided by (x-a) it leaves a remainder of a^3 and when divided by (x-b) it leaves a remainder of b^3. Find the remainder when it is divided by (x-a)(x-b)
(the a and b are actually alpha and beta signs but i didn't know how to type them)
please help ill try to help u in any other ques., and try including all steps thanks!!

Originally Posted by ankitd1994

when a polnomial p(x) is divided by (x-a) it leaves a remainder of a^3 and when divided by (x-b) it leaves a remainder of b^3. Find the remainder when it is divided by (x-a)(x-b)
(the a and b are actually alpha and beta signs but i didn't know how to type them)
please help ill try to help u in any other ques., and try including all steps thanks!!

Since the divisor is a quadratic, then the remainder is linear, call it px+q. Next, try to set up two simultaneous equations by using the given information.