How To Find the Zeros of The Function

👉 Learn how to find all the zeros of a polynomial by grouping. 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 by grouping, we first equate the polynomial to 0 and then use our knowledge of factoring by grouping to factor the polynomial. Next, we use the zero-product property to evaluate the factored polynomial and hence obtain the zeros of the polynomial.

Recall that the zero-product property states that when the product of two or more terms is zero, then either of the term is equal to 0.

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

[Dark_Lord_Pixel]

Its currently 2024 and im watching this for math

[bieber]

My math teacher is very rude and likes to speed his way through a lesson without letting the class ask questions. Thank you for helping me and uploading these videos. You're a life saver :)

[homiz]

This is very helpful, my teacher this year is not good

[mattwynes]

8 years later and this dude saving me lol

[bkdmnd]

When you have to teach class at 9, but assassinate a target at 10

[lakeofwindows]

I've been struggling with this concept and going into a mild panic attack due to having an exam on this in the morning. Really wish I found your videos a few weeks ago when I began studying for this exam, but better late than never I guess. Thank you so much!

[calebpullen]

Dude, you're awesome. I wish I had you as my teacher!

[braydenritter]

i’ve been trying to learn how to do this for 2 months, and then it took 3:05 minutes of this video for me to 100% understand it. Bless up for this dude

[brianmclogan]

we introduce this in Algebra 1 but go much deeper in pre-calculus. Keep up the hard work

[brianmclogan]

thanks, your comment had me cracking up this morning.

[brianmclogan]

don't worry I have examples of those types of problems too. When you have two (x-4)'s as your factors we can re write it from (x-4)(x-4) to (x-4)^2. Now our factor is raised to an even power. When we have a factor to any even power it is said to have even multiplicity. What does even multiplicity mean? It means that the graph will touch and rebound at x=4 rather than cross at x=4. However x=4 is still a zero of the polynomial. Did that explanation help?

[FancyPants]

Really saved me for my pre calc test lol. This video was a good refresher.

[brianmclogan]

Your right, the best way to overcome this is to practice. I know that is a cliche answer but the more you practice the more your confidence will grow

[Spook_]

Over the years when I have been confused while studying math, I have always been able to find a solid explanation on this channel. Thank you for your hard work!

[bandawin]

After all these years and every time I come back to this channel there's always something there to help me with whatever I need. Truly awesome

[brianmclogan]

This is pre-calculus. Keep up the hard work!

[seamusmoran]

dude I cannot even begin to express how helpful these videos are, you're the sole reason I'm surviving pre calc

[ColeEasley]

been struggling with this all year, never truly understood it until I found this. Thank you so much!

[kassandramartinez-rodas]

I had a teacher that taught like you in high school, now that I am in college teachers just ask us questions and expect us to know it all without an explanation. Thank you!!!!

[OluwafunmiO]

Oh my goodness! This tutorial was awesome! I'd been struggling with polynomials for hours but Brian was so easy to understand. Solved a few math problems in a couple minutes! Thanks so much