There is a polynomial of degree 4. It can be expressed as P(x) = n/(n+1) for 0 <= n <= 4 for n E Z
Find the value of the polynomial if n = 5. (2/3 is the answer)
From what I have if you express the equation as P(x) = ax^4 + bx^3 + cx^2 + dx + e, and you sub P(0) then 0 + e = 0, which means that e is then 0.
So youre left with P(x) = x(ax^3 + bx^2 + cx + d)
P(1) = 1/2 so: (a + b + c + d) = 1/2
P(2) = 2/3 so: 2(8a+4b +2c +d) = 2/3. 8a + 4b + 2c + d = 1/3
Find the value of the polynomial if n = 5. (2/3 is the answer)
From what I have if you express the equation as P(x) = ax^4 + bx^3 + cx^2 + dx + e, and you sub P(0) then 0 + e = 0, which means that e is then 0.
So youre left with P(x) = x(ax^3 + bx^2 + cx + d)
P(1) = 1/2 so: (a + b + c + d) = 1/2
P(2) = 2/3 so: 2(8a+4b +2c +d) = 2/3. 8a + 4b + 2c + d = 1/3