factorise 2x³-3x²-17x+30
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Answer:
from given
2x² - 3x² - 17x + 30
=> 2x³ - 4x² + x² - 2x - 15x + 30 <[Spliting term]
=> 2x² ( x - 2 )+ x ( x - 2 ) -15 ( x - 30)
=> (x - 2 ) ( 2x² + x - 15 ) <[Taking common ]
=> (x - 2) ( 2x² + 6x - 5x - 15)
=> ( x - 2 ) { 2x ( x + 3) - 5 ( x + 3)
=> ( x - 2 ) { (2x - 5) ( x + 3 ) }
Hence,
Factor of this polynomial =
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