Answer:
f(-4)=0
Explanation:
when f(x) is divided by (x+4) you get (x²+5x-3+2x+4), so:
f(x)=(x+4)*(x²+5x-3+2x+4)
f(x)=(x+4)*(x²+7x-1)
f(x)=x(x²+7x-1)+4(x²+7x-1)
f(x)=x³+7x²-x+4x²+28x-4
f(x)=x³+11x²+27x-4
Now we know f(x), sub in -4 for x to get f(-4):
f(x)=x³+11x²+27x-4
f(-4)=(-4)³+11(-4)²+27(-4)-4
f(-4)=-64+11(16)-108-4
f(-4)=-64+176-112=0
f(-4)=0