Quadratic Equations | Solve by factoring | Free Math Videos

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[TheBirdsNest]

I want you to know that I was falling behind in a class for a solid half the year. This channel made an immediate difference. Thank you.

[AshtroBruno]

This helped me out a lot even so long after. You’re a brilliant teacher if you still are right now thank you so much!!

[R_dacted]

A lot of my professors use this sort of method, but I never liked it cause it feels like cheating to me in that its more of a memorization of patterns than it is actual math. And whenever a professor of mine tries to explain it to me, I just end up completely lost.

I always swear by grouping when it comes to factoring. It's easy enough to do in your head, provided the numbers aren't ridiculous.

1. Take the leading coefficient and multiply it by the trailing number (the one without a variable)
In the video's example, we would do 2 (the leading coefficient) * 2 (the trailing number) = 4.

2. Figure out which two factors of that product will add to the center coefficient.
In the video's example, +5 is the center coefficient. Which two factors of 4 will add to +5? Well, that would 4 and 1. 4 * 1 = 4 and 4 + 1 = 5

3. Swap out the center value for the two factors you selected.
In the video's example, + 5x is the center value. We replace that with + 4x + 1x. This makes the equation 2x^2 + 4x + 1x + 2 = 0.

4. Group that into two separate expressions.
We have 2x^2 + 4x + x + 2. Group that into (2x^2 + 4x) (+x + 2)

5. Factor the two expressions such that each group ends up as the same factor.
We have (2x^2 + 4x) (+x + 2). Factoring the first group we get 2x(x+2), The second group we get 1(x+2). [Notice that (x+2) is the same in both groups]

Finally, take the coefficient of each group and combine them into one factor. And then take expression in the parenthesis as the other factor.
So our factors are 2x(x+2) and 1(x+2). Therefore our factors for our original trinomial would be the coefficients of each factor along with the factor in the parenthesis. So (2x+1) {coefficients} and (x+2)

That looks like a lot of steps, but I broke it down into detail. After you do it a couple times, its very easy to do in your head or quickly on paper if the numbers are too much for you to think about.

[andrewnjeru]

after going through ur videos for about 30 minutes now i totally get it thanks

[Toast_ig]

Cramming in a year of math in 2 days. Thank you so much. I’ll tell you how finals go 😭

[skazcix]

this dudes such a goat he pulls through he got me through senior year of highschool

[ahorrio]

im trying to help my son but i just can't. WOW!!!

[arandomperson]

This helped me a lot!! Thanks !!You're a hero

[amandasartor]

Could you offer clarification on your statement at the beginning about all trinomials can be factored into two binomials? My initial reaction was to say not all trinomials can be factored but you could be talking about factoring over the a different system of numbers.

[haticekelmen]

Wow this has saved me a mark in the exam!

[ronacohen]

You saved me before my final thank you sooo much you explain everything soooo much better that my actual teacher

[PeachandMario]

Work out the combinations of factorisations!
Try every combinations until getting it right!😢

[BobaTea-skvs]

watching this at 1 am still got 4 chapter left lmao😭 im studying for my final, hoping i get a decent mark

[ily]

W teacher I’m studying this hours before my final

[snfootballnerd]

Omg i thought we only use the factor method when the leading coefficient is 1!

[asadahmed]

Sir, can you please tell me that why do students have to study equation, like Linear, Quadratic, Exponential, reciprocal etc ....

What is their purpose in practical life ?

[DannyHous]

If your middle term is negative do you make one of them negative

[MESTRO]

i’m so fukin cooked, i have test today and finals on thursday it’s 1:34 am and i have no clue how to do ts

[ctoftos]

I am Iraqi, but I study with this Teacher It seems to me that it is easy for him to explain a topic in two minutes, while our Teachers take two hours for one topic Also my English is not good and I don't want any comment about it

[jacobh]

What if it doesn't have a middle term?