factorise :
2x^3-3x^2-11x+6
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Answer:
answer is (x-3) (x+2) (2x-1)
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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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