How To Factor Difficult Quadratic Equations

This algebra video tutorial explains how to factor difficult quadratic equations by using the quadratic formula in a reverse mode.

The Greatest Common Factor:

Difference of Squares & Sum of Cubes:

Factoring Perfect Square Trinomials:

How To Factor By Grouping:

Cubic Polynomials:

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Solving Quadratic Equations By Factoring:

Quadratic Equations Completing The Square:

How To Factor Difficult Quadratic Equations:

Hard Factoring Examples:

Factor Completely - Multiple Variables:

Factoring Higher Degree Polynomials:

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Factoring Trinomials With Large Numbers:

Factor Trinomials With Negative Exponents:

Factoring - Rational Exponents:

Factor Theorem and Synthetic Division:

Finding All The Zeros of a Polynomial:

Real and Imaginary Solutions:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

Quadratic Equations - Formula Sheet:

[georgesadler]

Mr. Organic Chemistry Tutor, thank you for another fantastic video/lecture on How to Factor Difficult Quadratic Equations in Algebra Two/College Algebra. The oldest method that's known to the human race is the Quadratic Formula, however there is a trial-and-error method that can be used to factor difficult equations in Algebra One/Two.

[virajfunhouse]

I love how the thumbnail of the video is just like “ factoring difficult stuff” lol

[namenotimportant]

this is useful if calculators are allowed, I have a final that doesn't allow calculators and we need to finish in a small amount of time

[jacobkoel]

First step should be 3(4x^2 + 81x - 63) no?

[angelasanchez]

THANK YOU, THANK YOU, THANK YOU!!! YOU ARE DEVINE!!!

[WinterFlare]

It’s -b plus or minus the square root of b squared - 4(a)(c) all over 2a.

[michealbmillzlynnmass]

Your original answers + 3/4 and -21 @ 3 min 44 sec were the correct answers. If u plug either number back into the equation it will equal zero.

[DimAgozirim]

Thanks so much sir God bless you and shine his face upon you

[aryanprakhar]

we call it shree dharacharya method. I can be derived by using completing the square method

[yanbolter]

if you factor the equation like 3(4x^2 +81x- 63) it would be easy to factor, it will be 3(4x^2 + 84x -3x -63) => 3( 4x(x+21) - 3(x+21) => 3 ( 4x-3) (x+21) . smth like this

[natty-vy]

wow, you need to teach my class! Best!!!

[biggestfanofproblemsbeater]

Hello Mr. Organic Chemistry tutor this method is too lenghty for many competitive exams and will consume a lot of time. Is there another way to solve these problems??

[jiandraxsargado]

4:25 how'd u get the 3? I mean if i were given a harder equation, how will i determine what to multiply to that part of the equation?

[ponceacademy]

You can factor out a three and is not hard to factor after that

[Aaron.T]

I am solid at math. Rolling through some of the maddest calculus classes with ease. Until I run into 5890x^2+4590x+800... Have to factor this for a partial fractions integral.

[troutman]

Bro has been carrying me since middle school, now I’m a junior in college and I swear he makes this shit more comprehensive than professors

[ravatales]

How do u get those high numbers to be squared

[AYINDEJIBOLA-cg]

THANK YOU VERY MUCH MR ORGANIC CHEMISTRY TUTOR

[justinspecker]

4:27 how can you add a 3 to it? Where did you get 3? You've been very helpful btw its just I don't get why you added a 3.

[waseemakram]

It's more easy if u simply take out the lcm of the product of a and c