Answer: ( x + 1 ) ( 2x - 5 )
Explanation:
Break the expression into groups:
2x² - 3x - 5
= ( 2x²+ 2x ) + ( - 5x - 5 )
Factor out 2x from :
2x² + 2x => 2x ( x + 1 )
Factor out - 5 from :
-5x - 5 => -5 ( x + 1 )
2x ( x + 1 ) - 5 ( x + 1 )
Therefore:
Factor out common term : x + 1
=> ( x + 1 ) ( 2x - 5 )
Hope that helps!