x ki ghat -25 - 3x = (×-2) ki ghat 2
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Answer:
x3 - 2x2 - x + 2
माना p( x ) = x3 - 2x2 - x + 2
जाँच करने पर, हमें प्राप्त होता है
p( 1 ) = ( 1 )3 - 2( 1 )2 - ( 1 ) + 2
= 1 - 2 - 1 + 2 = 0
∴ गुणनखंड प्रमेय द्वारा ( x - 1 ), p(x) का एक गुणनखंड है
अब,
x3 - 2x2 - x + 2 = x2( x - 1 ) - x( x - 1 ) - 2( x - 1 )
= ( x - 1 ) ( x2 - x - 2 )
= ( x - 1 ) ( x2 - 2x + x - 2 )
= ( x - 1 ) { x( x - 2 ) + 1( x - 2 ) }
= ( x - 1 ) ( x - 2 ) ( x + 1 )
Step-by-step explanation:
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