Question

Find the factor of x^3-2x^2-x+2​

Answer 1

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 ).