Option B gives the correct answer.
The solution is listed below:
[tex](5 x^{2} -4x-1)(7 x^{2} +9x+8) \\ \\
=5 x^{2} (7 x^{2} +9x+8)-4x(7 x^{2} +9x+8)-1(7 x^{2} +9x+8) \\ \\
=35 x^{4}+45 x^{3}+40 x^{2} -28 x^{3}-36 x^{2} -32x-7 x^{2} -9x-8 \\ \\
=35 x^{4}+17 x^{3}-3 x^{2} -41x-8 [/tex]