how to solve this ???

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Answer 1 · 2017-06-03T14:22:28

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

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 $f$

$Rightarrow a = 1$

$Rightarrow b = 2$

$Rightarrow c = 3$

$Rightarrow d = 4$

$Rightarrow e = 5$

$Rightarrow f = 6$