I suspect there are quite a lot of things these all apply to fairly well, but my guess at the specific word the questioner has in mind is:
I can be bad. I can be dangerous. I can be good. I can be better.
"That was a bad idea. This is a better one. This other one is a good idea too." "Darwin's Dangerous Idea" (title of a book by Daniel Dennett).
I can be simple. I can be complex. I can be crazy. I can be absurd.
"The theory of evolution is basically a very simple idea." "The Langlands Programme in analytic number theory is a very complex idea." "Don't do that -- that's a crazy idea." "You may think this is an absurd idea, but let me explain why it really makes sense."
I can be wrong. I can be right. I can be radical. I can be bright.
"The idea that the world was created by the sneezing of the Great Green Arkleseizure is intriguing, but wrong." "Yes, you've got the right idea. Now explain why all the clues fit." "Feminism is the radical idea that women are people." (This slogan actually usually has "notion", but "idea" works about as well.) "This is a tricky problem, but I've had a bright idea that may help."
I can be popular. I can be wrong. I can be given. I can be expressed.
"Cutting taxes is always a popular idea." "Yes, it's a plausible-sounding idea, but it's wrong." "That word you just used gives me an idea." "Populist politicians gain their success by giving expression to ideas that are unacceptable to the elite but resonate with a large fraction of voters."
You can have me, likely you will many times. I might escape you or you might lose me in time.
"I've had an idea." "I had an idea for how to solve this puzzle, but I got distracted and now it's gone."