Question

If the polynomials p(x) = x power 4 - 2xcube +3xsquare - 9x-7+3b when decided by x+1,leaves reminder 29,find the value of b. Also find the reminder when p(x) is divided by x-2

Answer 1

Given polynomial p(x) = x4- 2x3 + 3x2- 9x - 7 + 3b.

When divided by x+1 leaves a remainder 29 i.e.

as per the remainder theorem, p(-1) = 29.  

But p(-1) = 1 + 2 + 3 + 9 - 7 + 3b = 29

⇒ 8 + 3b = 29

⇒ 3b = 21

∴ b = 7.

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Answer 2

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