Synthetic division | Polynomial and rational functions | Algebra II | Khan Academy

Basic algorithm for Synthetic Division

Missed the previous lesson?

Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Algebra II channel:

[GavinWilliamsTheGreat]

I love learning math at home because i can say "Oh and "HELL YEAHHH" whenever i get something.

[antisocialblender]

I just love how I can learn in five minutes what takes a normal teacher 30 minutes to teach thanks

[sohankesineni]

My class is for 40 minutes. I do not understand a thing my teacher is saying but you taught it to me in 6 minutes. Thank you

[gamerprince-tlhg]

Wasn't paying attention in class today so I missed this lesson in class... Thanks!

[allyconnie]

He makes me laugh sometimes "it may seem like voooodoooo" :P

[monononny]

middle schoolers up in here sayin they're doin this, meanwhile I'm in college having to do this DX

[shobysstories]

I am currently struggling in math because of today's online classes due to this covid... this video helped me a lot and I want to thank Khan Academy for this...


Love from the Philippines!

[MrCookN]

when exams are coming up and u need to be refreshed

[GerrrFace]

Thanks! I'm in 9th and I'm in algebra 2 honors, and my teacher doesn't describe the lesson well this helps a lot! *subscribe* you make it easyer to understand! Precal and algebra 1 for collage here i come! (Nxt year) ;-; ~tear

[Tamil]

This is extremely helpful for me. Even though im just grade 8, the teach me the topics of 9th or 10th. While my sir was teaching, I couldnt understand. But now I can see everything coming together. Very very thank you❤

[ChnSailor]

I've always heard, "Set (x + 4) = 0" But same concept, same result using the negative of 4 ( -4 )

[ClovisMint]

for the bottom equation, the one that your dividing by all your doing is finding the zero of it/roots so basically X+4 is X+4=0, that's why it is -4 and if you graph y=x+4 the root aka x-int is -4 same if you divide the polynomial by x^2-1, you find the zeros which are 1 and -1 and use it for the synthetic division(same place the -4 was put in the videos example)

[bril]

Im an 8th grader and we are doing this in Pre Ap Algebra 1 i didnt get it when my teacher explained it so so but this helped a lot thanks

[gold]

Ah, thanks so much! Kahn Academy is awesome!

[Animerulespeople]

lol people need to stop bragging about what age they're learning this at

[queNWS]

10 questions 1. Are you sure you cant do it with coefficient? do you know binary?

[lilcutiepie]

this is so much easier than long division with polynomials

[Yakushii]

I also prefer normal long division, even for polynomials. But I haven't seen the synthetic division before. :)

[droopyeyedmofo]

I prefer traditional long division but I had a problem that it didn't work for. Please tell me if i am making simple mistakes or synthetic only works for this problem. PROBLEM: (x⁴−3x³+x-4)(x+1)

[vrushabh]

4:07 "drumroll right over here" isn't he the best :'))