Respuesta :

The value of f(-1) is "37".

synthetic division:

[tex]\to f(x)=-x^2-8x+30\\\\\to x=-1\\\\\to f(-1)=?[/tex]

[tex]\to f(x)=-x^2-8x+30\\\\\to f(-1)=-(-1)^2-8(-1)+30\\\\\to f(-1)=-1+8+30\\\\\to f(-1)= 7+30\\\\\to f(-1)= 37\\[/tex]

Therefore, the final answer is "37".

Learn more about the synthetic division here:

brainly.com/question/1591815