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Tuesday, July 28, 2015

2015/069) P(x) is unknown and when divided by (x+1)(x-3) the remainder becomes 2x+7

What is the remainder when P(x) is divided by (x-3) ?

Solution
Because P(x) divided by (x+1)(x-3) the remainder becomes 2x+7 so there exists Q(x) such that
P(x) = Q(x) (x+1)(x-3) + 2x + 7
so remainder when divided by x-3 is using remainder theorem
P(3) = Q(3) (x+1) 0 + 2 * 3 + 7 = 13

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