The polynomials ax3 + 3x2 - 13 and 2x3 - 5x + a are divided b

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 Multiple Choice QuestionsShort Answer Type

91. Find the remainder obtained when x4 + 3x3 - 2x2 + x + 1 is divided by x - 1.
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92. Check whether the polynomial q(t) = 4t3 + 4t2 - t -1 is a multiple of 2t + 1.
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93. If the polynomial p(x) = x- 2x3 + 3x2 - ax + 8 is divided by (x - 2), it leaves a remainder 10. Find the value of a. 
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94. The polynomials x3 + 2x2 - 5ax - 8 and x3 + ax2 - 12x - 6 when divided by (x - 2), and (x - 3) leave remainder p and q respectively. If q - p =10. find the value of a.
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95. The polynomials kx3 + 3x2 - 8 and 3x3 - 5x + 8 are divided by x + 2. If the remainder in each case in the same, find the value of k.
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96. If f(x) = x4- 2x3 + 3x2 - ax + b is divided by (x - 1) and (x + 1), it leaves the remainder 5 and 19 respectively. Find ‘a’ and ‘b’.
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97. Find the remainders when 3x3- 4x2 + 7x - 5 is divided by (x - 3) and (x + 3).
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98. If p(x) =x3 - ax2 + bx + 3 leaves a rer.idinder -19 when divided by (x + 2) and a remainder 17 when divided by (x - 2), prove that a + b = 6.
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99. If remainder is same when polynomial p(x) = x3 + 8x2 + 17x + ax is divided by (x + 2) and (x + 1), find the value of a.
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100. The polynomials ax3 + 3x2 - 13 and 2x3 - 5x + a are divided by x - 2. The remainder in each case is the same. Find the value of a.


Solution not provided.

Ans.   negative 1 over 7

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