# Algebra – More on Factoring Trinomials

We’re going to do more on factoring trinomials
and solving them Are you ready class?! (students: YEAH!)
Yay Math? (students: Yay Math!) When I say “Math” you say “yay”! Math!
(students: Yay!) Math!
(students: Yay!) When I say “yay” you say “math”! Yay!
(students: Math!) Yay!
(students: Math!) In case anyone at home is wondering,
this is my student’s jacket So I don’t blend in with the back Now I’m a floating head Now I’m not, okay (student: You are scary!) Do I look okay? Yay Math! Alright, we’re disrupting another class, sshh Question already, love it (student: What is a trinomial?)
What is a trinomial, good Trinomial is a polynomial, which is an equation With three terms One, two, three
(student: And then a polynomial is…) Is a many term equation (student: So a trinomial is a type of polynomial?)
A trinomial is a type of polynomial, excellent And we just heard someone said “I’m taking notes”,
That’s fantastic (student: That was me)
That’s great, I’m happy you said that So, first things first,
is there a greatest common factor? (student: Ah… no)
No There is no greatest common factor,
So we can start our factoring process If we were to do the ‘FOILing’ process;
what times what is 7x²? So what times what is 7x²? (student: Could it be 7x and then x?)
7x and x, is that clear? So we’re starting with that one,
now we’re going to go to this one What times what is 4? What do you think?
(student: Let’s try 2 and 2) So let’s FOIL this, dude
(*caption note* First Outer Inner Last) I we were to FOIL to check,
forget about the signs for now Even though we can tell it will be both positive So, 7x², right? 7x*2 is?
(student: 14x) 2x, 4
Can these somehow add to make 29? (students: No)
No, so is it 2 and 2? (students: No) Let’s try 4 and 1, it’s like a game show Where do you want to put the 4? What do you think,
can you tell where you want to put the four? (student: In that one, the second one)
The second one Interesting that you should say that Could you put it in your own words
why it’s good to put the 4 here, and not here? (student: Because, umm… OH!)
OH! I love that moment! OH! (student: In the ‘O[uter],L[ast]’
you have to do 4*7x which would be 28x) (student: And then plus the 1x, oh) Exactly Where you going to say that, the ‘O’ sayer? Was that your intention? (student: Yeah, it was) Alright, so let’s make them plus, plus FOIL to check 7x², 28x [+] x, makes 29x, and 4. Yes? (student: The reason why you put
the 4 in the second parenthesis… …is because it’s bigger, and so it multiplies…)
With the 7 It will multiply with the 7 and that will make 28
and all we need is one more to make 29 (student: If you had put it in the first parenthesis then it wouldn’t be multiplied with the 7) Right, if you put the 4 here, 4 would be multiplied by x
and 1 would be multiplied by 7x so that would make 11x I’ll take the elevator Yeah, go ahead No, it depends on what the middle term is This elevator is broken So you put the bigger number wherever
you need to put the bigger number You’re still laughing, that’s awesome How many factors are still here? Two factors? So two factors, you set each to 0 to solve Because anything times 0, is 0 So we’re going to set the first factor which is
7x + 1 (student: Wait, I have a question)
Yes, yes, question? (student: That’s not the answer?)
No, the answer is solve for x, we have an ‘equals’ We need to solve for x This is factored, but we’re not done, solve! So, we set each factor to 0 x + 4=0,
I think everyone is writing, they don’t see that Everyone is writing, and when they look up, “oh” So now we solve, here we go! Minus 1 7x equals -1, divide by 7 *student sneezes*
Bless youuu! x=-1/7 *kids laugh* So high pitched I’m 1/16th mouse! In other words; great, great, great grandfather So these are the two answers.
Any questions? We solve both factors, set to 0 Alright, we’re going to do three more, you ready? Ready, Yay Math?
(students: Yay Math!) Please don’t do that Do you have the giggles? Do you really? (*student laughing*: I can’t breath)
That’s awesome Ladies and gentlemen, we have the giggles!

### 100 thoughts on “Algebra – More on Factoring Trinomials”

• April 25, 2016 at 4:30 pm

2m^3 -4m^2+50m can be simplified by 2
2(m^3 -2m^2 +25m) how do you distribute the m^3?

• May 8, 2016 at 3:41 pm

yep learned more in this 7 min video than in my 45 min math class

• May 15, 2016 at 5:56 pm

I've been stuck on a similar problem for so long! Thank you!!!! You made it so easy to understand.

• May 24, 2016 at 11:00 am

Watching this right before my finals 😅

• May 27, 2016 at 5:26 am

Solve, … Dude.

• June 9, 2016 at 5:41 pm

drake nigga lookin ass

• June 16, 2016 at 1:41 am

Good explanation is it not support to be positive 4 or is -4

• June 26, 2016 at 6:46 pm

You are to math as Seinfeld is to humor!

As a 40 yr old, returning to college, wanting to refresh on what's needed for an upcoming Alg.2/Trig. course, you're helping in a big way!

• July 4, 2016 at 11:38 am

why I hate math 🙁

• July 27, 2016 at 11:41 pm

I don't know how to be so yay about math. I barely understand how to do this stuff. I really don't think that we should use letters like y and z in math when it is mostly about using numbers. Also, I don't think that I will ever use this kind of Math in my life.

• August 5, 2016 at 4:53 pm

its funny how there isnt one male voice…

• August 14, 2016 at 10:07 pm

"I'm one sixteenth mouse!" 😂 That's my favorite thing you've ever said lol

• August 19, 2016 at 6:09 am

• August 27, 2016 at 2:11 pm

• August 27, 2016 at 2:15 pm

Our math teacher is so strict, coz she doesn't want her attitude to be taken for granted

• September 2, 2016 at 3:01 am

this teacher pulls

• September 9, 2016 at 2:55 am

Nice hairline…😂😂😂

• October 10, 2016 at 6:32 pm

Amazing teacher!

• October 17, 2016 at 8:35 pm

my teacher doesn't explain things so that the class can understand it. most of us are failing right now because we just don't get it. this video was a huge help. so yeah… thanks

• October 18, 2016 at 7:33 am

Thankyou so much! My teacher thought i was smart enough to do extension work and so I had no idea how to solve these things until this video!

• October 27, 2016 at 7:40 pm

I just learned how to solve my homework problems from the help of your teaching style.

• October 28, 2016 at 7:15 am

I'd kill my self if I was in this class

• December 2, 2016 at 7:49 am

Wow, thank you! I've never seen it done this way, and it is so incredibly helpful.

• December 8, 2016 at 1:58 am

ugh why are they so excited about math.

• December 19, 2016 at 12:01 pm

you were so interesting, I watched you for 5 minutes before I realized you weren't teaching the chapter I was curious about.

• January 18, 2017 at 3:41 am

cringe

• February 20, 2017 at 6:39 pm

I wish I had you as my teacher

• March 28, 2017 at 3:27 am

Boy u saved me lol

• April 17, 2017 at 2:50 am

"LETS FOIL THIS DUDE"

• April 19, 2017 at 10:37 pm

why cant u be my math teacher

• April 26, 2017 at 3:06 am

it's sad I've learned more from this than the 3 months we've been studying it keep it up

• May 2, 2017 at 1:06 am

I'm still waiting for the day I have to use math in life

• May 11, 2017 at 12:28 am

• May 16, 2017 at 3:06 am

dude u have no frickin idea how much this helped my math teacher sucks i finally get this bs

• June 3, 2017 at 4:07 am

Coolest teacher EVER!

• June 15, 2017 at 12:23 am

God Bless You Sir and God Bless the United Channels of Youtube.

• June 17, 2017 at 4:59 am

I wish I had a teacher like this

• August 7, 2017 at 5:40 am

found an easier way to do this on a ti84…
https://sourceforge.net/projects/dougtrinom/

• August 9, 2017 at 9:11 pm

why is everybody needing help when they are in college i am a freshman and i am learning this

• August 9, 2017 at 9:17 pm

you explain things so well and my 8th grade math teacher was great.

• August 18, 2017 at 3:22 am

Fooo I been watching you and I can no understand you

• August 26, 2017 at 3:25 pm

How do I do 4a^2+4a+1? If I try to factorise it I just can't get the right answer

• September 12, 2017 at 9:50 pm

Dude, so glad I found this video. Working a full time job(night shift) and going to school almost immediately afterwards makes it so hard to understand what's going on. Feels great being able to say "oh, now I get it!" Keep doing what you're doing!

• September 24, 2017 at 10:16 am

Hello, good video, you explain things well. I really want to see how you solve the last equation before the clip cuts off, where exactly is it on your website? I can't find it. 🙂

• October 19, 2017 at 3:49 am

Probably would've enjoyed math if I had this dude

• October 25, 2017 at 12:28 am

Alv no entiendo

• November 8, 2017 at 1:29 am

0:32 wow u perv

• November 11, 2017 at 10:20 pm

as someone who grew up with terrible math teachers all through school, i have to say, i appreciate your way of teaching. you're one hell of a teacher. im doing this in my college algebra class and your the only one who has ever explained it in a way that actually makes sense. Thank you.

• November 13, 2017 at 2:16 am

well done sir 👏

• November 26, 2017 at 8:32 pm

Awesome teacher, problem is, a majority of teachers lack enthusiasm

• December 8, 2017 at 9:47 am

if u would would be my maths teacher i would be happiest person in world and score 90 in maths

• December 31, 2017 at 4:50 pm

• January 20, 2018 at 3:32 pm

I WANT YOU AS MY TEACHER OH MY GOSH

• January 20, 2018 at 3:42 pm

How do you keep your students engaged?

• January 29, 2018 at 6:49 am

thank you thank thank you!

• February 6, 2018 at 11:52 pm

Thank you o m g I forgot how to factor and was panicking.

• February 10, 2018 at 2:52 pm

thank u yay math i didn't want to study but with u i want to study every day i wish u were my math teacher for ever bec. my whole class hate our math teacher so love u and keep it up :):);)

• February 12, 2018 at 5:15 am

Couldnt you just do the ac method

• February 24, 2018 at 2:04 pm

my teacher this process in less than a minute and it’s too fast for me, but this was great

• February 27, 2018 at 2:04 am

looks like such a fun class!! so many questions being asked, i see many successful students and teachers in this vid

• February 28, 2018 at 2:04 am

Your awesome at teaching! I wish I had you as a teacher in real life. I just realized this, math teachers are always my favorite teachers! They are always enthusiastic and nice! I have a question, where does the yaymath teacher teach? I hope it's in Maryland!

• March 4, 2018 at 6:12 am

I don't understand nothing lol

• March 9, 2018 at 3:46 am

This dude inspires me to be a teacher and I never considered it as a career.

• March 9, 2018 at 10:48 pm

Hé made it so easy 2 understand !

• March 13, 2018 at 1:33 am

Anyone else still watching this in high school lmaoo my teacher blows.

• March 19, 2018 at 9:09 am

My maths teacher in a nutshell: talks about Lamborghini (he doesn't own one)

2. Talks about his home country
3. Talks about snooker for whole lesson

• April 5, 2018 at 3:31 am

6:04 Boy did he hit the right note

• April 19, 2018 at 8:20 pm

oh my god finally a video that makes sense

• May 2, 2018 at 2:54 am

Math is so fucked up. In this example I couldn't use the AC method. So it works for only some examples. The same way as this method the teacher used in class. Super fail. Hate math.

• May 3, 2018 at 1:02 am

You are an amazing teacher students tend to learn based on how their teachers act, many students are scared to ask questions because they might be embarrassed but you are just so chill and fun all your students are comfortable around you and you tend to actually make math fun, you are the first teacher i seen to actually make me and other students enjoy math, i actually enjoyed watching this video and also laughed a bit while learning a ton because you had made it fun to learn, we need more teachers like you

• May 3, 2018 at 3:33 pm

SI MATIMATIKA! dang this is old

• May 14, 2018 at 2:33 pm

You seriously are my dream guy., im sad to see this vid is 10 years old lol

• June 22, 2018 at 1:33 am

This video is about 10 years ago and X is still not solving his own problem :/

• June 24, 2018 at 12:02 pm

I want him to be my teacher in math

• June 28, 2018 at 12:24 pm

I need this T E A C H E R

• July 7, 2018 at 5:12 pm

(X^15 + 1)÷(x-1)

• July 18, 2018 at 3:57 pm

School this friendly is wonderful let me transfer o_o to this school.

• July 24, 2018 at 5:56 am

thank you so much, now I can do these lighting fast.

• August 22, 2018 at 11:19 pm

I'm so sick of these Study Pug ads. Like if you agree 9-9

• August 22, 2018 at 11:22 pm

Wow what a fun guy!

• August 22, 2018 at 11:27 pm

OMG thank you SO MUCH I finally understand it ;-; Thank you

• September 6, 2018 at 8:58 pm

first day of trig..jeeez

• September 12, 2018 at 5:06 am

My math class is dead ass silent 💀 but I'm in ib math studies now and that shit hard

• September 13, 2018 at 12:51 am

What city is this in

• September 13, 2018 at 4:17 pm

He is a fucking god.This dude aint bored anyone

• September 20, 2018 at 9:23 pm

Finally I understand this shit

• September 22, 2018 at 9:59 am

I’m in 11th grade and I was literally struggling with it, THANK YOU SO MUCH. You’re such a good teacher.

• October 17, 2018 at 1:24 am

nice x

• October 21, 2018 at 9:29 pm

• October 22, 2018 at 7:04 am

An actual life saver. Thank you🙏🏾

• November 12, 2018 at 2:26 am

Wow this guy is legendary. What a great example of a teacher

• November 23, 2018 at 4:38 am

Study pug

• January 9, 2019 at 11:14 pm

6:17

• February 11, 2019 at 1:18 am

I still don't know shit

• March 5, 2019 at 7:25 pm

I wanna be in this math class

• April 2, 2019 at 8:04 pm

Here's my 18 year old dumb ass in college tryna learn this shit before a test

• April 22, 2019 at 3:23 pm

So when the trinomial equals zero, you factor the same way you would if it didn't?

• May 13, 2019 at 5:57 pm

That's a revolutionizing sneeze