Hi

 5y^2 - 2y -3          ||Note use of ^ (uppercase 6) for identifying exponent

 5y^2 - 2y -3 = (5y +3)(y-1) 

check Factoring Using The FOIL method

F	First terms  5y^2

O	Outside terms -5y

I	Inside terms  +3y

L	Last terms     -3

  

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