Answer:
Solution,
[tex]10 {x}^{2} - 17x + 3 \\ = 10 {x}^{2} - (15 + 2) x+ 3 \\ = 10 {x}^{2} - 15x - 2x + 3 \\ = 5x(2x - 3) - 1(2x - 3) \\ = (2x - 3)(5x - 1)[/tex]
Hope this helps..
Good luck on your assignment...