Dividing a Polynomial by a Trinomial Using Synthetic Division

This video shows through an example of how to divide a polynomial by a trinomial using synthetic division.

[yasmeenah]

Thank you very much for this wonderful presentation of this idea. I am from Jordan and I did not understand this idea at all from my teacher, but in this special way things became easier. Thank you from the heart

[jamesmarshmallow]

For anyone watching this, look up synthetic division on Wikipedia; there’s an expanded version that makes it easy to divide any two polynomials- not just trinomials

[arseniodiamajr.]

Aha! It's so easy lang pala. Ty for this

[dailydoseofmath]

You can do it for any polynomial. Suppose the polynomial has n term and and divisor has m term ( assuming none of coefficient is zero in poly and divisor). Make a m x n grid and write the coeff of polynomial in 1st row and then write the coeff of divisor in left side of grid taking a minus sign common from second term . for eg . if the divisor is x^4 +x^3+x^2+x+1 then you write 1- ( -1, -1, -1, -1) at left side of grid . Now you copy the first term as it is below the grid and multiply it with each term in bracket at left side of grid and put it diagonally starting from last row second column till it reaches second row .Now you add the term in second column and put it last and repeat the process . This will give you remainder and dividend of any general polynomial

[AlRichards]

Argie Torres Jr.  I don`t know how you made your comment but I am unable to reply to it directly.  Yes you still need to factor out the quotient as part of the factoring of your polynomial.

[jhoncristjumaquio]

Thank you so much it literally help me during this self learning

[senthamaraibaskaran]

Thank you very much...I have searched a lot to know and understand this meathod....its so easy for me to

[madelineh.]

If you factor the divisor, it’s (x+2)(x-1). Why aren’t you taking the opposite of +2 to get -2 and -1 to get +1 when dividing?

[argietorresjr]

Sir, do I still need to factor out the quotient to get the factors of the polynomial?

[Cyzer-shle]

Thanks I understand this perfectly, but I have a question, Can you use synthetic division in dividing two polynomials with two variables? For example, (x^2+2x^2y-2xy+2xy^2-3y^2)/(x+y),
If Yes how?

[holyshit]

I would be useful for deflation in Bairstow's method but we have to write it in the loop

[kristine]

thank u for this masasagutan ko na modules ko NSJJSJS

[kayden]

Why is the remainder -11x+9? Where did you get x? and why is 9 constant? Is this a rule that the first term for remainders must have a variable and the second shouldn't? Does this apply to all problems?

[jemaicatejada]

Sir about the remainder ? why we write -11x+9 ? can you kindly explain ?

[JenniferMMinaV]

Thank you, you are an amazing teacher =D

[Shikamaru]

how to divide this one using synthetic division 4x^3-12x^2+17x-15 divided by 2x-3

[AlRichards]

You watched the wrong video since this one shows how to divide by a trinomial. You are dividing by a binomial (2x - 3). Watch my video called Dividing Polynomials and the Remainder Theorem and see example 3.

[kacperm.]

Shouldn't the Remainder / Divisor on the right hand side of the final equation?
I know you do this in case of a standard synthetic division.

[learWARA]

What if the leading coefficient of the divisor isn't 1? Nvm I saw ur other video, ur vids really help

[unicorn]

What adjustments must be made if synthetic division is to be used to divide polynomial by a binomial of the form ax+b, with a › 1? pls ANS