factoristation of this polynomial
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this is the solution so it is understood
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2x³ - 9x² + x + 12
= 2x³ + 2x² - 11x² - 11x + 12x + 12
= 2x²(x +1) -11x( x +1) +12(x +1)
=(2x² -11x +12)( x +1)
=(x + 1)( 2x² - 8x -3x +12)
=(x + 1)( 2x -3)(x -4)
hence, ( x +1) , (2x -3) and ( x -4) are the factors of f(x )
now,
(x +1)= 0, => x = -1
(2x -3) =0 => x = 3/2
( x -4) =0 => x = 4
hence, option (2) is correct .
= 2x³ + 2x² - 11x² - 11x + 12x + 12
= 2x²(x +1) -11x( x +1) +12(x +1)
=(2x² -11x +12)( x +1)
=(x + 1)( 2x² - 8x -3x +12)
=(x + 1)( 2x -3)(x -4)
hence, ( x +1) , (2x -3) and ( x -4) are the factors of f(x )
now,
(x +1)= 0, => x = -1
(2x -3) =0 => x = 3/2
( x -4) =0 => x = 4
hence, option (2) is correct .
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