Question

find the hcf of polynomial x cube -1 and x square -1

Answer 1

Solution :

Resolving the factors of ( x³ - 1 ) and

( x² - 1 ),

x³ - 1³ = ( x - 1 )( x² + x + 1 )

x² - 1² = ( x - 1 )( x + 1 )

Now ,

HCF = ( x - 1 )

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