The polynomial P(x) has remainder 1 when divided by (x-1) , and remainder 3 when divided by (x+1) . Find the remainder when P(x) is divided by .
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Originally Posted by mathaddict The polynomial P(x) has remainder 1 when divided by (x-1) , and remainder 3 when divided by (x+1) . Find the remainder when P(x) is divided by . P(x) = Q(x) (x - 1)(x + 1) + (ax + b) where Q(x) is a polynomial. When P(x) is divided by the remainder is ax + b. Now note: P(1) = 1 => 1 = a + b .... (1) P(-1) = 3 => 3 = -a + b .... (2) Solve equations (1) and (2) simultaneously.
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