You should indicate which type of expression are you expecting.
But intuitively, x^2 + 16 = x^4 + 4^2 = (x+4)^2 - 8x
Given the scale is 1 cm to 25 km.
We have to find the length of the trail from centimeter to the nearest tenth of kilometer.
Let's take the length of the trail be x km.
The length of the trail given 7.2 cm. We will have to find the length in km.
We have to set it up as a proportion. So we can write the proportion as,
We have to cross multiply first. We will get,
So we have got the required length of the train in kilometer.
The actual length of the trail = 180km.
So we know that 1 inch on the map = 5 inches.
So if Brady's house is 23 inches away from Flagstaff on the map:
23 * 5 = 115.
So 115 inches is the actual distance...
Wait. His house is 9 feet away from Flagstaff? That's cool.
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.
