Hi there! The third answer is correct.
To find our answer, we must multiply the functions.
[tex](x - 2)( {x}^{2} + 5x + 2)[/tex]
Now we need to get rid of the parentheses.
[tex] {x}^{3} + 5 {x}^{2} + 2x - 2 {x}^{2} - 10x - 4[/tex]
Finally we collect terms.
[tex] {x}^{3} + 3 {x}^{2} - 8x - 4[/tex]
Therefore the third answer is correct.