Q16 of 153 Page 13

Evaluate the following :

x6 + x4 + x2 + 1, when .

Given:


⇒


⇒ x6+x4+x2+1


⇒ x4(x2+1)+1(x2+1)


⇒ (x4+1)(x2+1)


⇒


⇒


⇒


We know that i2=-1


⇒


⇒


⇒ (-1+1)(i+1)


⇒ (0)(i+1)


⇒ 0


∴ x6+x4+x2+1=0


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