2x³_3x²_17x+30 factorisation
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2x² - 3x² - 17x + 30
= 2x³ - 4x² + x² - 2x - 15x + 30 [WRITING -17x as -2x-15x]
= 2x² (x - 2)+ x (x - 2) -15 (x - 2)
=(x - 2) ( 2x² + x - 15 )
=(x - 2) ( 2x² + 6x - 5x - 15) [MIDDLE TERM SPLITTING]
=( x - 2 ) {2x(x + 3) - 5(x + 3)}
=(x - 2) (2x - 5) ( x + 3 )
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