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Find the remainder when f(x) = x4 - 6x3 + 2x2 + 3x + 1 is divided by (x - 2) ?
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- -12
- 12
- 17
- -17
Correct Option: D
When f(x) = x4 - 6x3 + 2x2 + 3x + 1 is divided by (x - 2), then remainder can be calculated by putting x - 2 = 0
i.e. x = 2
Now, put x = 2 in f(x)
f(2) = (2)4 - 6(2)3 + 2(2)2 + 3 x 2 + 1
= 16 - 48 + 8 + 6 + 1 = -17
∴ The remainder will be - 17.
