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Remainder Theorem

12. A polynom...

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12. A polynomial leaves remainder 5 when divided by (x-3). It also leaves remainder 7 when divided by (x-4) . Find remainder when it is divided by (x-3) (x-4).

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Q. The polynomial

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Q. Question 2
The polynomial

p (x) = x^{4} - 2 x^{3} + 3 x^{2} - a x + 3 a - 7

when divided by x + 1 leaves the remainder 19. Find the value of a. Also , find the remainder when p(x) is divided by x + 2.

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