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.
Answer:
13023 is divided by 3.....
Answer:
First multiply 30 by 3 = 90 then subtract 90 from 156 to get 66
Step-by-step explanation:
66 would be your thirtieth term.
Answer:
a₄ = - 15
Step-by-step explanation:
Using the recursive formula and a₁ = 17 , then
a₂ = a₁ - 8 = 17 - 8 = 9
a₃ = a₂ - 8 = 9 - 8 = 1
a₃ = a₂ - 8 = 1 - 8 = - 7
a₄ = a₃ - 8 = - 7 - 8 = - 15
Answer:
The vertex of this equation is (2, -7)
Step-by-step explanation:
In order to find the vertex of this equation we start with the base form of the vertex form.
y = a(x - h) + k
With this equation (h, k) is the vertex. You can see that 2 lines up with h and -7 lines up with k. This shows that (2, -7) is the vertex.
