Question

(-1)power3 - (-1) power 2-(2+√2)(-1)+√2​

Answer 1

Answer:

"refer the attached file"

Answer 2

A N S W E R :

Apply remainder theorem 

x+1=0

x=−1

Put the value of x=−1 in all equations. 

(i) x3+x2+x+1=(−1)3+(−1)2+(−1)+1=−1+1−1+1=0

Then x+1 is the factor of equation

(ii) x4+x3+x2+x+1=(−1)4+(−1)3+(−1)2+(−1)+1=1−1+1−1+1=1

This is not zero.Then x+1 is not the factor of equation

(iii) x4+3x3+3x2+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)x3−x2−(2+2)x+