Question 181463
15X^2 + 19X - 6 
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I graphed this trinomial and found it has zeros at x=-1.528.. and x=0.262...
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You don't find answers like that using synthetic division; you use the 
quadratic formula.
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x = [-19 +- sqrt(19^2-4*15*-6)]/30

x = [-19 +- sqrt(721)]/30

x = [-19 +- 26.851..]/30

x = [-19 + 26.851..]/30 or x = [-19 - 26.851..]/30

x = 0.262.. or x = -1.528..
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Cheers,
Stan H.