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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, 2 months 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. Vikram Waradpande · 4 years, 2 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, 2 months ago

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Solved It Thank You Aditya . Sudhanshu Mishra · 4 years, 2 months ago

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Try to find the polynomial \(f(x)\) Indirect Hint: Generalise the function. Aditya Parson · 4 years, 2 months ago

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@Aditya Parson The first one was easy with generalizing, but the second is messing up with it. Akshat Jain · 4 years, 2 months ago

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