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1. x4 + x2 + 1 এর একটি উৎপাদক x2 + x + 1 অপর উৎপাদকটি কত?

  • A. x2 + x + 1
  • B. x2 + x + 1
  • C. x2 + x + 1
  • D. x2 + x + 1

Answer: Option B

Explanation:

প্রদত্ত রাশিকে উৎপাদকে বিশ্লেষণ করে পাই,

X4 + X 2 + 1

= X4 + 2X2 – X2 + 1

= ( X4 + 2X 2 + 1 ) –X2

= { ( X2)2 + 2*X2 *1 + 12 } – X2

= ( X2 + 1)2 – X2

= ( X2 + 1 + X ) ( X2 + 1 - X )

= ( X2 + X + 1 ) ( X2 - X + 1 )


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