Answer:
[tex]{x}^{3} + {x}^{2} - 18x - 8[/tex]
Step-by-step explanation:
The given expression is:
[tex](x - 4)( {x}^{2} + 5x + 2)[/tex]
We need to expand using the distributive property:
[tex]x( {x}^{2} + 5x + 2) - 4( {x}^{2} + 5x + 2)[/tex]
This implies that:
[tex] {x}^{3} + 5 {x}^{2} + 2x - 4 {x}^{2} - 20x - 8[/tex]
Regroup similar terms and simplify:
[tex] {x}^{3} + {x}^{2} - 18x - 8[/tex]
The first choice is correct.
