# Functional Equations

A polynomial f(x) satisfies the equation f(x)+(x+1)3=2f(x+1). Find f(10).

I'm Totally Lost !!

Note by Sudhanshu Mishra
5 years, 1 month ago

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Live problem! Try it yourself like I did. I had no idea how to solve such questions, but still got it right! Its pretty simple.

- 5 years, 1 month ago

I would consider is the degree of the polynomial and the leading coefficient. Once that is settled, it's more or less done.

- 5 years ago

Solved It Thank You Aditya .

- 5 years, 1 month ago

Try to find the polynomial $$f(x)$$ Indirect Hint: Generalise the function.

- 5 years, 1 month ago

The first one was easy with generalizing, but the second is messing up with it.

- 5 years, 1 month ago