Find All the Zeros of a Polynomial To the Fourth Gegree

👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values of x for which the value of the polynomial is zero.

To find the zeros of a polynomial that cannot be easily factored, we first equate the polynomial to 0. Next, we 'guess' one of the factors of the polynomial and then use synthetic division or long division to find other factor(s) the polynomial. After we have obtained the factors and have factored the polynomials, we can then use the zero-product property, quadratic formula or any other applicable property or formula to evaluate the factored polynomial and hence obtain the zeros of the polynomial.

Organized Videos:
✅Zeros of a Polynomial by Factoring
✅Zeros and Multiplicity of Polynomials | Learn About
✅How to Find all of the Zeros by Sum and Difference of Two Cubes
✅How to Find all of the Zeros by Grouping
✅How to Find all of the Zeros in Factored Form
✅How to Find all of the Zeros by Factoring 5th Degree
✅How to Find all of the Zeros by Difference of Two Squares
✅How to Find all of the Zeros by Factoring 4th Degree
✅How to Find all of the Zeros of a 3rd Degree Polynomial
✅How to Find all of the Zeros Without Factoring

Connect with me:

#polynomials #brianmclogan

[icyreknto]

Shoutouts to my man Brian, helping me out with algebra 3 homework at 12 am on a Monday

[brianmclogan]

glad it clicked for you, happy to help let me know how else I can help you out!

[skymat]

My pre-calculus teacher wants us to be able to factor 5th degree polynomials like this with out any calculator and you used the graphing calculator to find the roots. I guess I just have to guess and check

[TheVopepigota]

your synthetic division intuition made lots of sense, thank you, this video was very helpful

[brianmclogan]

yes you can use the quadratic formula, however you should get the same answers I had in the video

[mottomotivn]

Continuously adding videos for more than 8-9 years but not crossed 1M subs. It shows that how people are uninterested in maths. But hats off to you . I liked your effort. May you cross 1M subs within 2020.

[TheThunderlord]

How do you divide polynomials with a degree of 4 and all roots are complex so you can’t use synthetic division

[lilmissasian]

Just love the way how energetic you get with your work!

[georgesadler]

Thank you for another fantastic mathematical video.

[jennifersantana]

is there a formula like the quadratic that can be used to find zeroes or is it just figuring out which quadratic functions exist and then using the quadratic formula on those quadratic functions you had manually figure out.

[dileepkumarpydi]

U r such a fantastic maths teacher ..love u sir from india❤️

[davidhuynh]

Plz answer, so find all negative zero is exactly like finding positive zeros, but you just input f(-x), & figure out sign changes. 😁 Thank you.

[jeremyfagan]

So what if you can't graph the polynomial before hand and you don't know any zeros going in?

[brianmclogan]

I have a lot of examples hope they all help!

[iamnopo]

Helped a lot, I watched the latest video on zeros and I was lost but this video helped me understand it 🤙🏽

[sophiadfirst]

2:55 where does 1 possible postive roots came from?

[hannahlim]

i like the lecturing, but maybe you should try looking into the camera :)) very helpful overall!!!!

[Daski]

couldn't you also solve the 2y^2 - 3y + 1 with the quadratic formula? When I tried that I only ended up with a bunch of weird imaginary numbers...

[krishnadasmidya]

Polynomial is mixed by x & y. Pl rectify.

[demarisanderson]

What about polynomials that don't have the number on the end? My problem only has X^4 and X^3 do we do these problems the same way?