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:
1/12 or 0.08333333333
Step-by-step explanation:
5/60 can be factored to 1/12 because the two numbers are each divisible by 5.
Answer:
There are 15 combinations.
Step-by-step explanation:
A restaurant is offering a dinner special that includes one starter and one entree.
Starter: bread-sticks, soup, salad
Entree: beef, fish, chicken, shrimp, pork
So, we have 3 starters and 5 entrees.
To know the possible dinner special combinations we will simply multiply the two.
Therefore, there are 15 combinations.
