factorise : 30x^2+7x-15
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Answer: 30x² + 7x - 15
Splitting the middle term,
=> 30x² + 25x - 18x - 15
Taking out common factors,
=> 5x ( 6x + 5 ) - 3 ( 6x + 5 )
Again taking out common factors,
=> ( 6x + 5 ) ( 5x - 3 ), which are the required factors.
Hence,
30x² + 7x - 15 = ( 6x + 5 ) ( 5x - 3 )
The factors of 30x² + 7x - 15 are ( 6x + 5 ) and ( 5x - 3 ).
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