Show that polynomials are Irreducible

[@andaniyarecords4]

Sir plz make videos on theorem of chapter algebraic extension of fileds in ADVANCE ABSTRACT ALGEBRA

[@r.s.1597]

Thank you so much..last example helped alot👍

[@shoaibalijhullan7484]

Thank you Sir ❤️ your video is Very much helpful 😊

[@PathFindersAcademy]

Glad to hear that

[@swatiwt]

Good explanation

[@divya9271]

X^4+3x^2+2 me p=3 rakhne per irreducile q nahi hua???

[@rolisrivastava8415]

Sir quotient ring par video dal dijiye

[@jyotimishra6522]

👍👍thank u so much 🙏

[@PathFindersAcademy]

Welcome, share among ur friends.... Keep supporting to creators

[@souloflearning262]

Mashallah good ho gya

[@MadihaFarooq-xg5qf]

In last example why we cannot use mod p test

[@manshipatel1845]

Tq😊

[@PathFindersAcademy]

Welcome 😊

[@simranjotkaur4200]

If a polynomial x²+1 given over Q(i)[x] is reducible or irreducible? Plz answer

[@PathFindersAcademy]

Yes it is reducible over field Q(i). Because all roots exist in Q(I).....

[@simranjotkaur4200]

Thnku sir

[@manastripathy9488]

The polynomial f(x) =2x^2+4 is irreducible over R but reducible over C why?

[@PathFindersAcademy]

As your given polynomial is of degree 2 by the theorem th-cam.com/video/IyEIkOWApwk/w-d-xo.html
If this polynomial of Degree 2 has root then it is reducible if it has not root then it is Irreducible over Base field...
Here it has √2i and -√2i these two roots are not present in R it is maginary roots which is present in C. We conclude that roots are not present in R so by theorem given polynomial is Irreducible over R. And
As roots are present in C so therefore by theorem given Polynomial is reducible over C.
I Hope this help you , if u still have any query plz let me know in comment ....

[@manastripathy9488]

Thank you very much.

[@rohitYadav-rc3nj]

Sir,x^4+x^2+1 in Z2 is reducible or irreducible...??please tell

[@anjaliverma8449]

It is reducible

[@ektagupta2393]

Thanks

[@PathFindersAcademy]

Welcome !!!!!!

[@sweety3426]

By einestain criteria

[@A_proud_Chauvinist]

Tnx

[@swatiprasad7059]

Wow helpful video

[@PathFindersAcademy]

Thanks for liking

[@sushilgupta7112]

Great amazing

[@souloflearning262]

1st

[@PathFindersAcademy]

😊☺️