x3- x2 - (2 + V2)x+ 12
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Answer:
Apply remainder theorem
x+1=0
x=−1
Put the value of x=−1 in all equations.
This is not zero.Then x+1 is not the factor of equation
(iii) x⁴+3x³ +3x ²+x+1=(−1)⁴+3(−1)³+3(−1)²+(−1)+1=1
This is not zero.Then x+1 is not the factor of equation
(iv)x 3 −x 2−(2+ 2 )x+ 2 =(−1)³(−1) ²−(2+ 2 )(−1)+ 2
=−1−1+2− 2+ 2 =0
This is zero. Then x+1 is the factor of equation
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