Find the factor of x^3-2x^2-x+2
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Given expression :
x³ - 2x² - x + 2
Taking x² common in first two terms and - 1 in next two terms
= x²( x - 2 ) - 1 ( x - 2 )
= ( x - 2 )( x² - 1 )
= ( x - 2 )( x² - 1² )
Using algebraic identity a² - b² = ( a + b )( a - b ),
= ( x - 2 )( x - 1 )( x + 1)
Hence the given expression's foctors are ( x - 2 ), ( x - 1 ), ( x + 1 ).
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