If the polynomial 6x4 + 8x3 + 17x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1, the remainder comes out to be (ax + b), find a and b.

On dividing, we get

Here remainder is x + 2. On comparing it with ax + b, we get

a =1  and  b =2

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