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The polynomials ax^3 + 4x^2 + 3x - 4 and x^3 - 4x + a leave the same remainder when divided by x – 3,

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The polynomials ax3 + 4x2 + 3x - 4 and x3 - 4x + a leave the same remainder when divided by x – 3, then the value of a is: 

(A) – 1 

(B) – 4 

(C) 4 

(D) 1

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Correct option is (A) – 1

27a + 36 + 9 - 4 = 27 - 12 + a 

26a = 15 - 41

a = -26/26

a = -1

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