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.

The remainder is ax + b
We have
⇒ ax + b = x + 2
Comparing we get
⇒ a = 1 and b = 2
Hence a = 1 and b = 2
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