Answer:
- 49
Step-by-step explanation:
[tex]f(x) = 5 {x}^{3} + 7x + 5 \\ let \: x + 2 = 0 \implies \: x = - 2 \\ \therefore \: f( - 2) = 5 ({ - 2)}^{3} + 7( - 2) + 5 \\ = 5( - 8) - 14 + 5 \\ = - 40 - 14 + 5 \\ = - 54 + 5 \\ \red{ \bold{\therefore \: f( - 2) = - 49}} \\ [/tex]
Thus, remainder = - 49
