How to divide a trinomial into a polynomial using long division

👉 Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a polynomial by a quadratic divisor using the long division algorithm, we divide the polynomial (dividend) with the quadratic term of the divisor to get a term of the quotient. We will then multiply all the terms of the divisor by the term of the quotient and subtract the result from the dividend. The result is divided again by the quadratic term of the divisor to get another term of the quotient. This process is repeated until the quadratic term of the divisor can no longer divide into the dividend.
The result after subtracting the product of the last term of the quotient and the divisor is the remainder when the divisor divides the original polynomial. If the remainder is zero, then the divisor is a factor of the original polynomial.

Organized Videos:
✅Divide Polynomials using Long Division
✅Divide Polynomials using Long Division with four terms
✅Divide Polynomials using Long Division with five terms
✅Divide Polynomials using Long Division with missing terms
✅Divide Polynomials using Long Division with monomial divisor
✅Divide Polynomials using Long Division with quadratic divisor
✅Divide Polynomials using Long Division with linear binomial divisor

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[isaiixii]

The amount of times you’ve saved me in algebra you should be my teacher at this point thank you

[harrisonbennett]

It's crazy how sometimes you have to revise the basics even when you are taking a maths degree

[senator]

..I'm 57..love math..totally not good at calculating...I am successful so Im not preparing for anything...Im just watching a beautiful art..loving it

[smilendlessly]

Honestly an amazing professor. Thank you.

[manuelmedels]

I have a final project for math and forgot how to do this thank god for this video and the amazing explanations!

[kylaspam]

just saved my butt for the test im cramming for rn lol thanks

[JoshF]

Not sure if you'll ever see this, but I appreciate you uploading these videos so much

[marwastars]

Only if you were teaching at our school i would understand everything, I'm lucky i find this video. Thank you.

[adgar]

I notice a lot of students in class are a bit confused with the side work on the left and WHY you get the numbers in the quotient...the way I learned it was you have X^ what do you need to get x to the 4th? an X^... so x^ * x^ = x4th. Same with -4Xcubed, you have X^ what do you multiply X^ with to get -4Xcubed? -4X . Its just finding the missing puzzle in my head you have A you have C so find B

[matteovillella]

Thank you so much...before I watched this video I was crying because I couldn't figure this out...as I write this comment, I am crying tears of joy.

[lokkesh]

The product of -4x and 2x is -8x2 and not -6x2

[AveryThomas]

Thank you so much, you teach me more than my actual did in 2 weeks!

[bibidubap]

i noticed that some of your students get confused with the signs. it's just basic integers tbh but i gained new knowledge from when you said that i could just change the minus signs into plus

[fae]

what do i do when the exponents aren’t compatible like i subtract 4x^2 from 5x so do i just rewrite it into the next step as 5x-4x^2 orrr

[thetallguy]

This literally saved my life today doing algebra homework

[oHas]

It would be great to make for SAT test . You are so good teacher

[solaris]

Thank you, kinda forgot how to do this so it was a good refresher

[Riptide]

This was such a helpful video. Thank you very much!

[kathryndignan]

I always use add the opposite so it makes more sense to me when I'm subtracting

[arushi]

2:22 why is it -2x^3 shouldn’t it be positive