Determine the number of positive, negative and complex roots of a polynomial

👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number.

Descartes' rule of signs states that the number of positive real zeroes in a polynomial function f(x) is the same or less than by an even number as the number of changes in the sign of the coefficients of the terms of the polynomial function. The number of negative real zeroes of the f(x) is the same as the number of changes in sign of the coefficients of the terms of f(-x) or less than this by an even number.

Organized Videos:
✅Rational Zero Test and Descartes Rule of Signs
✅How to Use the Rational Zero Test
✅How to Use Descartes Rules of Signs

Connect with me:

#polynomials #brianmclogan

[Big_Funi_Official]

This guy is already better than my math teacher

[kenzieisla]

Ur actually my best friend at this point

[maximum]

You'll probably never see this comment but thank you so much you are a life saver, my teacher is good but he explains some things horribly and this was one of those things that just straight up left me confused, but after this video i now have a complete understanding and could teach someone else about this so thank you :)

[satyaranjansharma]

Thnx man now I can understand what I couldn't from my book

[devanfalcon]

My Pre-Calc online course is absolutely horrendous, but your method here made me understand completely. Thank you!

[asZJFlasd]

Thanks for making this video. This clarified my confusion on how to find complex zeros.

[elizabethmccoy]

I never expected an Algebra 2 concept would come back up in Differential Equations. Feels bad man (but also this stuff is mega helpful)

[shreyadhatwalia]

Is this valid for equations with other degrees??

[vineetdubey]

Thank you very much for making this video. It's very helpful!

[nabeelamulla]

Thank you! Really clarified the complex roots for me!! 👐

[janeannemorsbach]

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[anuptimsina]

This is exactly what I was looking for

[theadvanced]

thanks really helped with the complex zeros

[ajguevarra]

This video was one of the reliable video with regards on its topic. It helps me a lot to understand easily the process. Thankyou.

[johnfredcatajay]

Thank you so much sir! It helped me a a lot.

[raykalaw]

what if there is a negative real roots?

like for example
positive = 2 or 0
negative = 2 or 0
will there be no complex roots ?

[nonentity]

Thanks a lot, Sir.
Btw why can't we use the Rational Root theorem for this polynomial? Are there any indicators?

[t.g.s__]

so if you have 1 sign change and you can't minus is it just 1?

[suryasrivastava]

Randy Orton in parallel universe.
Btw great explanation

[tariqpathan]

does descartes rule of signs is only applicable on just complete equation or it can be applied on missing equation like (x^3-1
)