Language of Mathematics III (91): Understanding Polynomials and Defining Terms (Part 3 of 3)

[imacheese1]

you said that a quadratic function can't be anymore than a trinomial. what if you had f(x) = x^2 + x + 1 - x^-1 + 2x^-2? isnt this a quadratic (highest power is 2) and also a pentanomial?

[chychochycho]

nope, you can't have negative powers in quadratic functions.

polynomial functions can't have negative powers.

[imacheese1]

ok great, thanks!

[imacheese1]

hey there, i just skimmed through your series and you went into a lot of depth in lots of areas. will you be doing anything on complex numbers in the near future? btw, i enjoyed watching your beard grow over the series :P

[chychochycho]

unfortunately i wouldn't be dealing with complex numbers any time soon. A lot to do before then.

as for the beard, it's grown, and you'll see by how much it in the next batch videos for this series :)

[larusosan]

hey, did you know your videos are recommended viewing for our mathematics teaching course at uni in england??

[chychochycho]

hey that's super cool. I didn't know that.

which university? i would love to see which ones they're recommending ... very cool ... thanks for letting me know :)

[larusosan]

it's on the brighton uni website. you're in the inspiration section and it gives a link to language of mathematics 3. it might be hard for you to see it as you need a password...i told the senior lecturer about your videos i'd been watching over the summer and he checked them out and obviously liked them too

[chychochycho]

thanks for the recommendation, i'm glad you both liked the videos. Hope others find them useful as well.

I also like the fact that your university is taking advantage of what's available online. Looks like you're in a good place.

[fourbarposer]

hey don't worry about the noise comment i made earlier, I didn't realise at time that you filmed outdoors too at the time. trying to remove the noises could make the sound more artificial and take time.

btw I haven't got yet time to watch the whole serie but skimming through I couldn't find example of 9*x/(400+x)=5 .. particularly the x/(400+x) part I'm not sure what to do about it but I'll work it out.

[fourbarposer]

figured it out. I didn't realize at first that with 5*(400+x) I just had to turn it into 5*400+5*x or 2000+5x ..

[chychochycho]

cool, that was fast :)

[fourbarposer]

the helpful part was to put in some x's until I got the right answer then looked at what should I have done to get that answer.

I suppose you have answer somewhere here. I'm now interested finding all combinations of a & b in 9*a/(b+a)=5 .. this calculation is simple electronic circuit related. I really wish we'd had some type of applied math/programming in school with basic electronics (age 10-15). Actually there was in mine but it was just building a pre-designed kit - no math was needed.

[larusosan]

hey chycho...is this the last one? great series by the way

[chychochycho]

No, there will be a few more coming.

We still have to cover 2 more factoring techniques, and learn some tricks/properties on how to graph polynomials.

I think i'm also going to try and get something done on solving absolute value equations ... and do a very mini introduction to calculus.

we'll probably get done with this series by the end of September.

[SubjectOfInterest]

I love the fact that you do math in random locations. It'd put a smile on my face if I saw that in obscure places hehe

[chychochycho]

i can tell you that it does put a huge smile on my face after i look back and see what i just did on a wall :)