Special Products of Polynomials (TTP Video 71)

An exploration of some of the patterns that often occur in multiplying certain types of polynomials and the formulas that result.

[Graham_nethercot]

I really appreciate that you post your lectures and other mathematical related discussion on youtube, but what you should do, and this is only a suggestion, is allow the youtube community to help add user generated closed captioning. The auto generated ones are sometimes okay, but they can be very bad at other times. I would happily volunteer my time to help make your videos more accessible for others. I am sure others would do so as well. Thank you again for helping make math a more approachable and exciting subject.

[maksymandrzejdrzyzgiewicz]

Mom: For goodness' sake, Max, stop watching the mathematics videos!
Me: 05:23

[dragmahk]

The last thing about the Pascal Triangle is honestly mind boggling!

[giorgossakkatos]

My mind was blown, oh dear sweet lord

[hassanlaghbi]

I love Pascal's triangle. Thanks Prof. Leonard!

[Piano...Piano.P.P]

Thank you for mentioning Pascal' triangle, it looks so cool !

[Greenwabbit]

Professor could u recommend some mathematics books?

[imamalam]

Loved your calc vids keep up the good work

[Peter_]

One nice way to expand products of polynomials is to use the convolution function in the program MatLab, where each term represents the coefficients for each degree.
For example, the expression (x + 1)*(x² + 2) can be written as conv([1 1] [1 0 2]), which gives the solution "1 1 2 2", in other words, "x³ + x² + 2x + 2".

[TheSpasmer]

could you upload this and future videos in hd please ?

[nehaljhirmaria]

When are the differential equations videos coming?