//Functions, first period. Descartes Law of Signs and Upper Bound of Roots Theorem. Rose has just used synthetic division with 5 on a polynomial and ended up with a nonzero remainder. Rose: Oh no! 5 is not a real root! But, class, you see, dividing by a number that is not a root is a lot like a break-up: You could just rush on blindly looking for the next opportunity, or you could slow down and consider the implications, and why everything went wrong... So what does anyone notice about the remainder? Noah Kim: Wait, Mr. Rose, is this related to your personal experience? //a little bit later, talking about graphs of polynomials in relation to roots Rose: But we know what graphs of polynomials look like! They're so continuous and smooth and predictable.... Noah Kim: Mr. Rose, you are still talking about math, right?
//Discussing Newton's third law, how throwing stuff off a vehicle will get you moving Schafer: So you're in a college class, and the professor gives you some problem like this: "Say you take your girlfriend or your boyfriend for a boat ride in a pond. But, you lose your paddlers. How do you get back to land?" See, this question is just bad. Like, they want you to say something about taking off your clothes and throwing them out the boat, but you could just swim! In fact, you could probably wait a bit and eventually just drift back to shore. Billy Leete: Why don't you just throw your girlfriend out of the boat?
//Handing out leaflets for the USA Science and Engineering Festival Pham: For those of you who do not have a girlfriend, for those of you who do not have a boyfriend, this is what you're going to do on the 23rd!
Pham: I love algebra, so beautiful, everything work out pretty. (pause) Pham: Algebra prettier than girlfriend, you wish yo' girlfriend look like algebra.