Question

If we add ax² + bx +c with the polynomial 3x⁴ + 4x³ – 5x + 6, then the result is exactly divisible by x+1, x-1 and x +2. Prove that a, b, c are given by the equations a-b+c+ 10 = 0, a +b + c+8 = 0 and 4a – 2b +c +32 = 0.
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Answer 1

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