The zeros are -8, -1, 2, so you can write the function as f(x)=(x-(-8))(x-(-1))(x-2)=(x+8)(x+1)(x-2).
Expand:

The function is f(x)=x³+7x²-10x-16.
The missing value is 7.
If the result of the radical expression is a natural (whole) number
Answer:
Answers C and D are proably missing the y term. I'll assume they are:
C. (x-4)² + (y-1)² = 9
D. (x-4)² + (y-1)² = 3
A, is the equation that produces the drawn circle.
Step-by-step explanation:
See the attached image for explanation.
Answer:
1. k=0
2. yes, result is still a polynomial.
3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)
Step-by-step explanation:
1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)
for k=0 any polynomial f(x) will reduce f(k) to the constant term.
2. If we multiply a polynomial by a constant, is the result a polynomial?
Yes, If we multiply a polynomial by a constant, the result is always a polynomial.
3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?
Yes.
If
deg(f+g) < deg(f) and
deg(f+g) < deg(g)
then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.