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$x^{4} + x^{2} + 1$ -এর একটি উৎপাদক $x^{2} + x + 1$ অপর উৎপাদকটি কত?

$x^{2} - x + 1$

$x^{3} + 1$

x+1

$x^{2} + x + 1$

ANSWER : 1

Descrption

অপর উৎপাদকটি হবে, ( X2 - X + 1 )
বাক্ষাঃ প্রদত্ত রাশিকে উৎপাদকে বিশ্লেষণ করে পাই, 
 X4 + X 2 + 1
 = X4 + 2X2 &ndash; X2 + 1
 = ( X4 + 2X 2 + 1 ) &ndash;X2
 = { ( X2)2 + 2*X2 *1 + 12 } &ndash; X2
 = ( X2 + 1)2 &ndash; X2 
 = ( X2 + 1 + X ) ( X2 + 1 - X )
 = ( X2 + X + 1 ) ( X2 - X + 1 )
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