Question 1029570
factor f(x) into linear factors. 
f(x)= x^4+2x^3-19x^2-8x+60 
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Graph::
{{{graph(400,400,-6,6,-10,10,x^4+2x^3-19x^2-8x+60)}}}
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x = -2 is a zero::
Use synthetic division::
-2)....1....2....-19....-8....+60
.......1...0.....-19....30...|..0
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x = 2 is a zero::
Use synthetic division::
2)....1....0....-19....30
......1....2.....-15..|..0

Factor x^2 + 2x -15 
(x+5)(x-3)
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Ans:: f(x) = (x+5)(x+2)(x-2)(x-3)
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Cheers,
Stan H.