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Functional Equations

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

please give me some advice about this question

I'm Totally Lost !!

Note by Sudhanshu Mishra
4 years, 5 months ago

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2 votes

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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.

Vikram Waradpande - 4 years, 5 months ago

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

Clarence Chew - 4 years, 5 months ago

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Solved It Thank You Aditya .

Sudhanshu Mishra - 4 years, 5 months ago

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

Aditya Parson - 4 years, 5 months ago

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

Akshat Jain - 4 years, 5 months ago

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