Dividing two polynomials using synthetic division

👉 Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for the variable, the solution for the variable will be the synthetic divisor. In dividing with synthetic division, we set up the coefficients of the dividend polynomial against the synthetic divisor to get the coefficients of the quotient and the remainder. If there are any missing terms when applying synthetic division we must use a place holder zero in its place. It is also important to make sure your dividend polynomial is in standard form with descending powers.

Organized Videos:
✅Divide Polynomials using Synthetic Division
✅Divide Polynomials using Synthetic Division | Learn About
✅Divide Polynomials using Synthetic Division with missing terms
✅Divide Polynomials using Synthetic Division with fractions
✅Divide Polynomials using Synthetic Division with five terms
✅Divide Polynomials using Synthetic Division with three terms
✅Divide Polynomials using Synthetic Division with four terms

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[mzfhhyx]

it is not really true... you have to divide by 2 at the end..

[abdulmuqsitsaeed]

I've been watching you since grade 9, I'm now I'm in grade 12 and just realized how much you've helped me these past 4 years. I'm dead serious when I say I couldn't have done it without you. You've been more of a teacher to me than any teacher I've ever had in these 4 years. Thank you Mr. McLogan!

[caleballen]

Your final answer is pretty much dividing 3x^(3)-4x^(2)+5 by x+(3/2)


If you want to use synthetic division here, it is best to look at it like you are dividing by (x+(3/2) and you are dividing by 2

Now you need to go through and divide everything (except the remainder because it was already divided by [2x+3]) by 2.
The correct answer is

[ThenSaidHeUntoThem]

You should divide each term of the DIVIDEND by the 2 before you start solving or divide the quotient you got by 2 after you are done.

[bashirsambo]

I didn’t know agent 47 taught maths

Thanks btw for making it easier to understand

[kenjiro]

Lots of youtube videos in regards to polynomial and synthetic division don't give good examples in regards to (your problem) divided by (Nx+N), they always use x+n.

[ricardotraslavina]

The 2X+3 denominator is a linear binomial. In order, the synthetic division works for this equation you must divide by 2 both the numerator and denominator before starting the synthetic division.

[manwholikebread]

This guy really helps me a lot of homework 😭

[joshesquivel]

This 4 minute video beat my 2 week Lesssons.

[earlph]

these channel help me of all my math modules thank

[thewaysofmath]

This is incorrectly done. When dividing by non-monic polynomials, the synthetic division algorithm has to be modified for use (however it can still be done).

[hamzah]

thanks man, i wish you were my teacher

[LeoKhan]

You teach in an amazing way but the logic of divisor equals to infinity is confusing...

[AGBULLIT]

Thank you!
I needed to solve for x and add a constants column.

[edwinmariano]

In equating to zero, just transfer the coefficient of x (2) below the constant (3) make 2 the denominator of 3

[yaboiiike]

Math is so much easier I can pass my math test now

[bonjingtv]

When you do long division you'll get different answers

[iborahemahydara]

Ur working so fast I can't even understand

[narayanasiyer]

The remainder should be 113/8(x+3/2) which can be verified by cross multiplication

[urmilaborgharkar]

This is WRONG answer. With the traditional method you get a different answer. Also if you multiply the answer with 2x+3 you don't get the dividend. For synthetic division you have divided the entire answer by 2 except remainder