Question

factorise :
2x^3-3x^2-11x+6

Answer 1

Answer:

answer is (x-3) (x+2) (2x-1)

Answer 2

The factorised form of the expression 2x³ - 3x² - 11x + 6 is ( x - 3 ) ( x + 2 ) ( 2x - 1 ).

Given: The expression 2x³ - 3x² - 11x + 6.

To Find: The factorized form of the expression.

Solution:

We need to factorize the given expression;

      2x³ - 3x² - 11x + 6

 We shall do the numerical by the grouping method.

  =  2x³ - 6x² + 3x² - 9x - 2x + 6

  =  2x² ( x - 3 ) + 3x ( x - 3 ) - 2 ( x - 3 )

  =  ( x - 3 ) ( 2x² + 3x - 2 )

  =  ( x - 3 ) ( 2x² + 4x - x - 2 )

  =  ( x - 3 ) [ 2x ( x + 2 ) - 1 ( x + 2 ) ]

  =  ( x - 3 ) ( x + 2 ) ( 2x - 1 )

Hence, the factorised form of the expression 2x³ - 3x² - 11x + 6 is ( x - 3 ) ( x + 2 ) ( 2x - 1 ).

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