Complex Numbers: Operations, Complex Conjugates, and the Linear Factorization Theorem

In getting through algebra, we never talked about complex numbers, but they are important so let's discuss them now! These are numbers with a real component and an imaginary component, so we first have to understand what i means, in a mathematical context. It's the square root of negative one. Then we need to learn how to do arithmetic with these expressions, and finally we can understand how we get answers in this form when using the quadratic formula but with a negative discriminant. Much to discuss, check this out!

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[johnryan]

I've watched this whole series from the beginning and, as of this video, have surpassed all the mathematics I ever learned in high school. I always assumed this stuff would be out-of-reach for the rest of my life, but here I am at the age of 30 looking forward to trig and calculus. Thank you, Professor Dave!

[daniyashah]

i got 4 out of 10 in my exam and now today at last i got the concept and your test at the end of the video was amazing i did it correct thankk you

[Someone-crcj]

a casual: i^2 =-1
me, an intelectual: j^2=-1

[TrinityTwo]

Great videos. Do you have one on de Moivre's theorem?

[debanshideb]

Could you please do a video on arguments of complex numbers. It would be very helpful. 🙂

[urbestie]

In the last questions i still don't get it why it come up 2+4i in the subtraction questions when i try it it was 2+18i could u please tell me i think i made a mistake but where

[KungaTsering-rt]

Wow sir ur video is that which is really useful for me .I check many videos on utube but I found ur and that was best 🎉😮 THANK YOU SIR

[arrogant_little_punk]

At 5:39 how did that 15 changed into 13 ? Is it because of 15 and (-2) ? = 13 😅

[wafualex]

this was in 12th and 11th now I'm in degree 😅

[omarel-nemr]

i didn't get why the number of solutions must be the same number of n

[kellytitus]

If you are here because you're writing an exam soon let's gather here

[ntandazo]

My broer you're blessing no student or researcher can deny 🙌🏽🔥 thank you once again

[asayilethindwa]

You have made my headache cease. Thank you professor

[bhumishreesoni]

Is 4th one is correct in comprehension?