How to Determine All of the Zeros of a Polynomial

👉 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

[youngransom]

This king taught me more in one video than what my teacher has in a week. Thank you, Mrs. Hamilton for shoving 5 standards down our throats in just two weeks, then making us take a multi-day test on everything, with none of the fundamental knowledge to even find all the zeroes.

[danielkadji]

imagine taking his math classes in high school, you'll be set for life

[KimboCo]

This is Pre calculus?!?! Why the hecketh is this the only thing ive done in Algebra 2

Also thank you for being better than my teacher

[enderbartnik]

Personally, I've always loved math. That said, the majority of my classmates do not. I feel that if we had such an enthusiastic teacher, that would not be the case.

Thank you for all of these videos, they're amazingly helpful and very informative!

[SecondHandShaun]

Was about to jump out a window and then I found this. This man makes me pass algebra 2.

[confusedpotato]

oh dang so my teacher just decided to skip teaching the very important part of finding what numbers to test - I seriously thought he was just pulling numbers outta nowhere and me being stupid just tests every single number less than 100 for every problem, , , this explains why others outside of his class can get the homework done within an hour while me being an idiot takes at least 3. Thank you for freeing up my life again ;D

[phlsphr]

@2:07, what exactly are you counting here? How are you getting the numbers 3 and 1?

EDIT: Nevermind. For anyone else wondering the answer to my question, I found what he was talking about in his other video, here:

[ryanandrews]

My teacher is absolutely awful, and I am so glad these videos exist. I would not be passing Pre Calc. without them.

[kesi]

imagin being in his class my teacher could never the way the students arent afraid to talk out loud give there answers, its truly astonishing you are an amazing teacher

[laura_jones]

i'm developing such a crush on this man.

[HeloisaChalom]

DUDE THANK U. i wouldn’t be passing online precalc without this man

[yolandaayala]

this video clarifies my understanding at a conceptual level. Thank you Mr. McLogan !

[vahmed]

Like legit .. thank you soooo much.. i was struggling in that the whole term 😭😭😭

[axtas]

My teacher couldn't teach me anything the entire semester. I watched this video for the first 5 min and I FINALLY GET IT. Thanks for nothing BECKY (my teacher)

[alyssanguyen]

Thank you so much for this. I'm learning this in my freshman (highschool) math class but my teacher is really smart but can't explain anything. Thanks a bunch! I finally understand it!

[kifu]

Nothing Else than a fantastic video! Keep up the good work. The World needs more passionate teachers like u that can contribute break up the sad, common view of math these days...

[arminsmajlagic]

This is very helpful, i had problems with finding eigen-values of an system and simply was not good enough to find them zeros...

[yesimafantastayzen]

I listen to this while answering the tests. Honestly I feel like my brain works a lot faster while I listen to lectures while studying

[may-bees]

how do you know to choose 1 and 2 and not 5 and 10? or can you use whichever zero you want? i noticed the whole try each one but when there's too many to chose from isn't there a shortcut?

[brileykick]

My teacher goes about this fast and I love it and he has us do a ton of optional practice problems to hone it in but there are two girls in class who hold us back by twenty ish minutes almost every day because they have so many questions. I wish we could just move to a different class