Factoring practice - Learn how to factor - Step by step math instruction

👉Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression.

To factor a quadratic trinomial where the coefficient of the term with a squared variable is not 1, we find two expressions which when multiplied together gives the product of the constant term (the term with no variable) and the term with the squared variable and when the two expressions are added gives the term whose variable has no power. These two expressions obtained are used to replace the term whose variable has no power. The result is then factored by grouping them and factoring out the GCD.

There are other methods that can be used to achieve this including the AC, Berry, Box, Grouping and mental technique. Each way will have it's benefits but it is also helpful to check your answer by multiplying your binomials to make sure they give the original trinomial

Timestamps:
0:00 Intro
0:52 Start of Problem

Corrections:
5:25 The factor is positive 5, not negative. Factors are (a-2)(6a+5)

Organized Videos:
✅Factor Quadratic Expressions
✅Factor Quadratic Expressions | Learn About
✅Factor Quadratic Expressions | GCF
✅Factor Quadratic Expressions | x^2+bx+c
✅Factor Quadratic Expressions | x^2+bx+C
✅Factor Quadratic Expressions | Difference of Two Squares
✅Factor Quadratic Expressions | Perfect Square
✅Factor Quadratic Expressions | ax^2+bx+c

Connect with me:

#quadratics #factoring #brianmclogan with leading coefficient not 1 how to factor a quadratic trinomial

[cusucr]

Brian, I would like to note that you are missing a "+" sign in one of the steps. Basically the line should be a(a-2)+5(a-2). Thank you for the video.

[georgmtb]

1% of the comments: Great video


99% of the comments: Dammit James u had one job.

[big_e_]

0:38 First instance of Jame's shenanigans
1:00-5:00 James makes his way across the room
5:17 James is called out yet again

[bubblethorn]

Saving me minutes before my math test bro thank you

[jaredolson]

I can tell by watching multiple videos of this lecturer, James is a constant nuisance in the class.

[wristdisabledwriter]

I was never good at the factoring with a coefficient for a. I always went back to my favorite quadratic formula. Thanks for showing a simple method

[phoenix_kiana]

Missing a "+" or not, I FINALLY think I understand factoring trinomials. I am 37 years old and NEVER grasped it in high school I tried, thought I got it then I was wrong, always. Thank you Brian for helping me to FINALLY get it! Yes, this is something that has bugged me for years because I loved to FOIL and thought, "Why can't I get this?!" It was all in the factoring and the piece I was missing was where you took the numbers that had the sum of the middle number (bx). This feels SO VERY GOOD!

[emilymarisol]

This is my second time coming to teach myself before my test 😭

[taylorpeters]

Thank you soooo much!!! Your videos are the reason i passed my exam, and the way you explain the concepts is wonderful!

[timmysheilacreech]

this video alone is a destructive assault on my brain

[aa]

Wish I had you as my precalc teacher, you explain everything at a pace everyone can learn.

[jamesburmeister]

I don't know you, but this video really helped me sir thank you so much.

[taze]

Dude, you are the absolute best. I was struggling with this, even though I have done it 100 times over, and you just jogged my memory. Absolute king!

[AbudaamHD]

there's always that one kid who says "yay" at the end of everything.

[aneesasyed]

My final exam is coming up (I'm a freshman) and this is all new to me. I learned this is just a few minutes thanks to you! Thanks for making easy-to0understand content!!

[sexballs]

Absolutely nothing like needing to look up "how to factor" at 2am on night of an a final calc exam in uni. Like damn i really forgor

[Dylan-lqbr]

Thank you for posting these videos. I am in college now, and I still like to come back and look at these to refresh my brain. I still find them very useful!

[seyarhamidi]

the reason i pass my math classes is because of you. i have learned a lot thank you and god bless you. i wish i had a teacher like you.

[warmspring]

thank you for explaining this, this is so helpful for my upcoming GCSE. You're a great teacher!

[Impauseible]

THANK YOU SO MUCH! I've watched videos and practiced for literally an hour at this point using my school's resources and you helped me in 5 minutes