The 2nd and the 6th question as fast as possible.
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2). x³+x²+x+1
Let x-1 = 0
x = 1
Now, put x = 1 in the above polynomial.
By using remainder theorem :
(1)³+(1)²+(1)+1
= 1+1+1+1
= 4 ( Required Remainder )
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6). x²+3√3x+6
By splitting middle term,
x²+2√3x+√3x+6
x(x+2√3)+√3(x+2√3)
(x+√3)(x+2√3) [Required Factors]
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