not sure how a factor of 30 goes into -17

Another alternative is to use the quadratic formula:

x=(-b±sqrt(b²-4ac))/(2a)

where a=3, b=-17, c=10

This will give you the roots. Then write the roots in a product of binomial form that is equal to zero. The two binomials will be your factors.

For example: If you have roots x=8 and x=-5, you can say that (x-8)(x+5)=0. This means that (x-8) and (x+5) are your factors.