x4 + x2 + 1 এর একটি উৎপাদক x2 + x + 1 হলে অপরটি কত?

A x2 − 1

B x2 + x + 1

C x2 − x + 1

D x2 + 1

Solution

Correct Answer: Option C

x4 + x2 + 1
= (x2)2 + 2x2 + 1 - x2
= (x2 + 1)2 - x2
=(x2 + x + 1)(x2 - x + 1)

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