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Let r1 and r2 are the …

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Let r1 and r2 are the remainder when the polynomials y 3 + 2y2 – 5ay – 7 and y 3 + ay2 – 12y + 6 are divided by y + 1 and y – 2 respectively. Find the value of a in each of the following cases, if (i) 2r1 + r2 = 6 (ii) r1 = r2 (iii) 1 2 r 2 r 3 = (iv) r1 – r2 = 5
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