The parts of polynomial expressions | Polynomial and rational functions | Algebra II | Khan Academy

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[kurayaminotenshi]

your the best you hsve helped me out this is way better than learning in class

[thomasolson]

Curious about what is going on with the expansion of exponents? How bout sequences like Fibonacci?

1, 8/3, 43/9, 176/27, 505/81, 344/243, -7853/729, -70048/2187, -395471/6561, -1692760/19683, -5237189/59049, -6349552/177147, 59184553/531441, 606817016/1594323, 3611660515/4782969, 16150126784/14348907, 53356143457/43046721, 87696485192/129140163, -418907131061/387420489, -5192883237520/1162261467, -32746016147879/3486784401, -152917581195112/10460353203, -535674310455437/31381059609, -1074125278546144/94143178827
x=4/3±(1/6)*sqrt(-20)
x^2=-b*x/a-c/a=8*x*(1/3)-7/3


See coefficient on x^6? 344/243, the second one (-3535/243) will go poof. Going to substitute the two solutions of 3*x^3-8x+7 (4/3±(1/6)*sqrt(-20)), going to call them A and B.
A=4/3+(1/6)*sqrt(-20)
B=4/3-(1/6)*sqrt(-20)

Well... That's a bit of a mess, I wanna rational. I'm going to have to divide that by something.


344/243 is the sixth number in the sequence above. And now you know why Fibonacci numbers and Pell numbers do what they do.



Now make b=x and play around with a and c. Any polynomial or number of interest in polytopes can be found with this function. Find the solutions, convert to decimal and google the decimal expansions.

[leigh-annbiersack]

I agree with you on that Martin Ecsamilla

[YaoSu-eeky]

Is this equal to algebra 1? As a 7th grader I found this really easy and some steps in the vid was more complicated than normal solution😅Sry this vid don’t help me

[quantumgaming]

How minus 8x ? Any one can explain because minus and plus divide the terms as per my knowledge