How to solve a quadratic by factoring in your head

3,195 views · Published 20 December 2013 · 2:23 · Indexed 20 September 2026

Channel: Brian McLogan · 2013 · Education

Watch on YouTube

👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors (expressions that can be multiplied together to get the original expression). 

To factor a quadratic equation whose coefficient of the squared variable is 1, all we need to do is to find two factors of the constant term whose sum gives the coefficient of the linear term.  Once we have our quadratic factored we will use the zero product property so solve our equation.  The solutions to a quadratic equations are the x-intercepts, roots, zeros or solutions to the quadratic equation.

👏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:
✅Solve Quadratic Equations by Factoring
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpKuFLJkQHUfHGuluAMWEDk
✅Solve Quadratic Equations by Factoring | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMp6ci0b2miEEkZUpkGNFkA1
✅Solve Quadratic Equations by Factoring | Square Root Method
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr7_lRuFOSOEi9d9dN804dQ
✅Solve Quadratic Equations by Factoring | Zero Product Property
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpEAy0ildmAQKDS90BpsJDx
✅Solve Quadratic Equations by Factoring | GCF
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpjDUE_xXzWlAUG7P_vpBjs
✅Solve Quadratic Equations by Factoring | x^2+bx+c
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrXsORL86gL4eZxQHiapjmm
✅Solve Quadratic Equations by Factoring | Difference of Two Squares
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqi_Suplm8E7zyl0vAH4bxZ
✅Solve Quadratic Equations by Factoring | Perfect Square
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqPJz49cL0pdcKTgmkc-pwI
✅Solve Quadratic Equations by Factoring | ax^2+bx+c
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqq9AUR_tXuxHFmdOSwb8lc

🗂️ 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/

#quadratics #solvingquadratics #brianmclogan

More from this channel