Look Who it Was Random video

Determine the Zeros of a Polynomial by Factoring

207 views · Published 31 August 2012 · 4:13 · Indexed 4 November 2026

Channel: Brian McLogan · 2012 · Education

Watch on YouTube

👉 Learn how to find all the zeros of a polynomial in the form of the difference of two squares. 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. A polynomial is said to be the difference of two squares if the polynomial is expressed as a difference of two terms which can be expressed as the squares of a number (or expression).

To find the zeros of a polynomial in the form of the difference of two squares, we first equate the polynomial to 0 and factor out any common factor of the two terms. We then use our knowledge of techniques of factoring the difference of two squares polynomials to factor the polynomial. After we have factored the polynomial, we can then 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.

👏SUBSCRIBE to my channel here:  https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1

❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join

🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7

🎉Follow the Community:  https://www.youtube.com/user/MrBrianMcLogan/community 

Organized Videos:
✅Zeros of a Polynomial by Factoring
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrD4VoPSY-LvhAzBhi9DwzM
✅Zeros and Multiplicity of Polynomials | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpd8JL1ecuHNExy7_O8fSw4
✅How to Find all of the Zeros by Sum and Difference of Two Cubes
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpXA1NlprGrz2-AV1Ja6ZiL
✅How to Find all of the Zeros by Grouping
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMps2RYRFQllsvDt65VOfm0P
✅How to Find all of the Zeros in Factored Form
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoFfALLnEBSUUMyfIx4K1Tn
✅How to Find all of the Zeros by Factoring 5th Degree
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMplvUrrKIhjmtpj4cvkHhjN
✅How to Find all of the Zeros by Difference of Two Squares
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpN7cM69f4aFf5NBNlgdbSz
✅How to Find all of the Zeros by Factoring 4th Degree
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrjL0NiGL4ArrvMmgigfTVV
✅How to Find all of the Zeros of a 3rd Degree Polynomial
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq0EJuu-Kc0KFh8SJRUjLAO
✅How to Find all of the Zeros Without Factoring
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpa6Q2M4xepRsfNMsR6TYIP


🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists

🌐 My Website - http://www.freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57

Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
⚡️Instagram - https://www.instagram.com/brianmclogan/
⚡️Twitter - https://twitter.com/mrbrianmclogan
⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/

👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/

👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/

#polynomials #brianmclogan

More from this channel