×

# 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
4 years, 5 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

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.

- 4 years, 5 months ago

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

- 4 years, 5 months ago

Solved It Thank You Aditya .

- 4 years, 5 months ago

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

- 4 years, 5 months ago

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

- 4 years, 5 months ago