x³-x²-17x-15║(x-5)
-------------------------------
-x³+5x² (x²+4x+3)----------- > the quotient q(x)
4x²-17x-15
-4x²+20x
3x-15
-3x+15

the quotient q(x) is x²+4x+3
the answer is the option x²+4x+3

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