The remainder when 2x3 + 3x2 +4x + 5 is divided by (x – 2) 

A) 31

B) 29 

C) 36 

D) 41

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2 Answers

Correct option is (D) 41

Let p(x) = \(2x^3+3x^2+4x+5\)

When p(x) is divided by \((x-2)\) then remainder will be p(2).

\(\therefore\) Remainder = p(2) \(=2\times2^3+3\times2^2+4\times2+5\)

= 16+12+8+5 = 41

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Correct option is  D) 41

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