2007AIME = 1979 IMO Longlist

by v_Enhance, Dec 4, 2011, 5:53 PM

ILL 1979 wrote:

Find all polynomials $f(x)$ with real coefficients for which
$f(x)f(2x^2) = f(2x^3 + x).$

2007 AIME II wrote:

Let $f(x)$ be a polynomial with real coefficients such that $f(0) = 1,$ $f(2)+f(3)=125,$ and for all $x$ , $f(x)f(2x^{2})=f(2x^{3}+x).$ Find $f(5).$

uh what.

Works Cited:
http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2019670&sid=b2e64dd6b6b1c69779482fe184c41962#p2019670
http://www.artofproblemsolving.com/Forum/viewtopic.php?p=798241&sid=b2e64dd6b6b1c69779482fe184c41962#p798241

This post has been edited 3 times. Last edited by v_Enhance, Dec 4, 2011, 6:52 PM

N = 9
N += 1

Comment

9 Comments

The post below has been deleted. Click to close.

This post has been deleted. Click here to see post.

Also 1997=1979.

by yugrey, Dec 4, 2011, 6:47 PM

Report

The post below has been deleted. Click to close.

This post has been deleted. Click here to see post.

Whoops, typo fixed.

by v_Enhance, Dec 4, 2011, 6:52 PM

Report

The post below has been deleted. Click to close.

This post has been deleted. Click here to see post.

Nobody would notice....

by djmathman, Dec 4, 2011, 10:54 PM

Report

The post below has been deleted. Click to close.

This post has been deleted. Click here to see post.

Well, it's the longlist...

ohwell

Also, cite your works right.

by AwesomeToad, Dec 5, 2011, 1:22 AM

Report

The post below has been deleted. Click to close.

This post has been deleted. Click here to see post.

djmathman wrote:

Nobody would notice....

Not quite the point (although I'm sure people noticed; people these days do a lot of ISL.)

Valentin Vornicu wrote:

It's our general opinion here at AoPS that this problem was ""wasted"" on the AIME, because from a hard problem it was transformed in a guess around problem which many easily solved.

Partially, too, because most people couldn't solve this legitly in the time allotted on the AIME along the other problems.

by v_Enhance, Dec 5, 2011, 3:02 AM

Report

The post below has been deleted. Click to close.

This post has been deleted. Click here to see post.

Where did Valentin say that?

by hrithikguy, Dec 6, 2011, 9:47 PM

Report

The post below has been deleted. Click to close.

This post has been deleted. Click here to see post.

Math Jam for that AIME.

by v_Enhance, Dec 6, 2011, 11:46 PM

Report

The post below has been deleted. Click to close.

This post has been deleted. Click here to see post.

Oh darn I should have put a smiley after my comment.

by djmathman, Dec 7, 2011, 2:47 AM

Report

The post below has been deleted. Click to close.

This post has been deleted. Click here to see post.

v_Enhance wrote:

Not quite the point (although I'm sure people noticed; people these days do a lot of ISL.)

Didn't know people did a lot of ILL; I certainly don't.

by AwesomeToad, Dec 12, 2011, 7:04 PM

Report

Submit

first shout in 2025
by Captainscrubz, Jan 28, 2025, 5:32 PM
289322 is crazy
by Tem8, Nov 20, 2024, 3:13 AM
orz evan :orz: thx for diamond
by Likeminded2017, Nov 17, 2024, 5:44 AM
a relic of the past
by Clew28, Jul 25, 2024, 8:55 PM
why'd you look at this? You leave me no choice...
by aidending, Jul 14, 2024, 11:49 PM
hi evan thanks for the diamond
by Scilyse, Feb 8, 2024, 10:16 PM
woa hi evan
by crazyeyemoody907, Aug 20, 2023, 9:14 PM
just google "nontrivial progress" for this blog!
by gracemoon124, Jul 29, 2023, 10:40 PM
HI GUYS!
by unknown12, Apr 16, 2023, 3:04 AM
isn't the shoutbox a bit too big?
by cinnamon_e, Apr 1, 2023, 7:56 PM
Omg market moment
by GrantStar, Mar 19, 2023, 12:50 AM
no $\text{[math]}$ $\text{[math]}$
by v4913, Mar 18, 2023, 9:56 PM
do shouts bring this up the blogroll?
by vsamc, Mar 4, 2023, 4:46 PM
hi!
first shout of 2023
by purplepenguin2, Feb 13, 2023, 7:21 AM
hi evan!!!!!!
by aops-g5-gethsemanea2, Jul 13, 2022, 4:17 AM
Contrib please?
by jjfun1, Jun 19, 2010, 3:57 PM
Alright, completed
by v_Enhance, Jun 18, 2010, 11:49 PM
Can I contrib?
by HappyFace241, Jun 16, 2010, 3:34 AM
What scrollbar?
by dragon96, Jun 13, 2010, 8:59 PM
Okay, done
by v_Enhance, Jun 13, 2010, 3:18 PM
Can I be a contributor???
by blabla4198, Jun 13, 2010, 5:54 AM
LOL.
HAI EVAN. YOUR BLOG IS FUNNY.
I LIKE YOUR INCREDIBLY HIGH STANDARDS FOR EVERYTHING.
by Anonymous, Apr 19, 2010, 3:57 AM
Yes I did make AIME
by EggyLv.999, Apr 7, 2010, 12:24 AM
Meh. I didn't even make AIME -.-
by Anonymous, Mar 29, 2010, 7:25 AM
Meh. I didn't even make AIME -.-
by ilovepi, Mar 29, 2010, 12:17 AM
Heh, everyone seems to be making stupid mistakes... so why is it they still scored higher than me?

Haha, I have made everyone in this shoutbox a contributor
by v_Enhance, Mar 19, 2010, 2:43 AM
Should have...should have...should have...

Define it.

I "should have" got a 15. But I misbubbled a lot.
by AIME15, Mar 18, 2010, 12:37 AM
I got a 6 too. and an index of 190.5

I should've gotten a 10.... but no one likes me.
by SonyWii, Mar 18, 2010, 12:06 AM
Trivial Progress
by dragon96, Mar 14, 2010, 5:55 AM

179 shouts

Nontrivial Progress

2007AIME = 1979 IMO Longlist

by v_Enhance, Dec 4, 2011, 5:53 PM

9 Comments