Question

how to solve this ???

Answer 1

`a = 1, b = 2, c = 3, d = 4, e = 5, f = 6`

Explanation:

We have: `f(x) -= (x - 2)^(5) + 2 (x - 2)^(4) + 3 (x - 2)^(3) + 4 (x - 2)^(2) + 5 (x - 2) + 6`

Let's compare this to `f(x) -= a (x - 2)^(5) + b (x - 2)^(4) + c (x - 2)^(3) + d (x - 2)^(2) + e (x - 2) + f`.

All we have to do is compare the coefficient of each term to `a, b, c, d, e` and `f`

`Rightarrow a = 1`

`Rightarrow b = 2`

`Rightarrow c = 3`

`Rightarrow d = 4`

`Rightarrow e = 5`

`Rightarrow f = 6`