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Math Help - polynomial help!!! really tough ques.

  1. #1
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    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!!
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  2. #2
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    Quote Originally Posted by ankitd1994 View Post
    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.
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