I often am not comfortable with using methods that I don't understand how they solve. This video was brilliant in helping me understand synthetic division and its properties as now Ill be able to use it in most functions without the grueling process of long division.
Brilliant explanation - other videos show how algebraic division and synthetic division work but none show the connection between WHY they are connected...WELL DONE!
Nobel Peace Prize have been handed out for much less...you SERIOUSLY Deserve one for all of the People you have actually HELPED improve their(ME)life's. Thanks!
Thanks for this explanation! I was watching some shorts on TH-cam or Facebook earlier today and the topic of "synthetic division" came up. I studied up through AP calculus in high school, and I don't think synthetic division was ever a thing in my entire high school math studies. The phrase sounded completely foreign to me. I do realize synthetic division is algebra and not calculus, but all roads lead to AP tests, so I think the reason it was never part of the curriculum in my algebra studies was because even algebra was preparing me for pre-calc and then AP calculus so I could get a good score on the AP calculus test three years later. Anyway, it's Sunday and I like to cut loose on the weekend, so I decided to Google some practice problems so I could try out the process and check my results. I didn't get 100%. Sloppy arithmetic. I'm rusty, but I've always been sloppy, too. Anyway, I did learn today 1) what it's for and 2) how to do it. But I'll forget how to do it if I don't also learn _why_ it works. That's one of the things I always liked about my math classes: everything builds on stuff we learned previously, and then something builds on that. As long as you have a good understanding of why the previous thing works, you've got a solid foundation for understanding the next thing that comes out of it. It's like monkey bars. So again, thank you for this.
Thanks a bunch ! It actually made things easier ! But can you try explaining it again I mean I get how we can drop down the first one ... But can you tell me about the others ...😊
Thanks for this video. I always got in trouble for doing all the math in my head. I would then have to explain how I was able to get the answers. The school put me in a math competition and in grade 4 I was at a grade 8 level and I didn't study ever. I stayed away from mathematics the rest of my life because I was sick of having to explain why my way worked and I lost confidence in it working until I started to view some of your videos.
I'm doing something very similar - the Horner scheme, but I need to know, how to choose the number after the x (for example here it's -4), so the remainder is 0?
Wow, I forgot how to do long division... I learned that like 7 years ago... that's sad. I haven't USED it in 5 years. Then fractions became easier to use than division, then calculators became my main form of calculating.
So that you dont need to keep remembering to subtract like in long division. When you negative that constant, you can now add instead of subtracting, since subtracting is a bit more tedious than adding
I often am not comfortable with using methods that I don't understand how they solve. This video was brilliant in helping me understand synthetic division and its properties as now Ill be able to use it in most functions without the grueling process of long division.
Thanks a lot ... damn helpful for those whose school classes don't move well ... got a good clarity
Brilliant explanation - other videos show how algebraic division and synthetic division work but none show the connection between WHY they are connected...WELL DONE!
Nobel Peace Prize have been handed out for much less...you SERIOUSLY Deserve one for all of the People you have actually HELPED improve their(ME)life's. Thanks!
I know this video is 8 years old but it’s so helpful. Thank you Sal!
Bravo Sal.., thank you to the 10th power
all the misunderstanting is now clear. wow it's really wonderful to learn every maths problem to you sal.
Good to see how things work..
I am Addicted to this Mans voice ........... very nice explanation.............very helpful
hey, it finally makes sense!
Thanks for this explanation! I was watching some shorts on TH-cam or Facebook earlier today and the topic of "synthetic division" came up. I studied up through AP calculus in high school, and I don't think synthetic division was ever a thing in my entire high school math studies. The phrase sounded completely foreign to me. I do realize synthetic division is algebra and not calculus, but all roads lead to AP tests, so I think the reason it was never part of the curriculum in my algebra studies was because even algebra was preparing me for pre-calc and then AP calculus so I could get a good score on the AP calculus test three years later.
Anyway, it's Sunday and I like to cut loose on the weekend, so I decided to Google some practice problems so I could try out the process and check my results. I didn't get 100%. Sloppy arithmetic. I'm rusty, but I've always been sloppy, too. Anyway, I did learn today 1) what it's for and 2) how to do it. But I'll forget how to do it if I don't also learn _why_ it works. That's one of the things I always liked about my math classes: everything builds on stuff we learned previously, and then something builds on that. As long as you have a good understanding of why the previous thing works, you've got a solid foundation for understanding the next thing that comes out of it. It's like monkey bars. So again, thank you for this.
Thanks a bunch ! It actually made things easier ! But can you try explaining it again I mean I get how we can drop down the first one ... But can you tell me about the others ...😊
Thanks for this video. I always got in trouble for doing all the math in my head. I would then have to explain how I was able to get the answers. The school put me in a math competition and in grade 4 I was at a grade 8 level and I didn't study ever. I stayed away from mathematics the rest of my life because I was sick of having to explain why my way worked and I lost confidence in it working until I started to view some of your videos.
Makes it so much clearer
magic...thanks a lot, it really helps
intense math
khan Academy is the only reason I'm surviving my math class right now
thank u soo much
Great Video!
Maybe a video about sound synthesis?
Khan saved me once again
I'm doing something very similar - the Horner scheme, but I need to know, how to choose the number after the x (for example here it's -4), so the remainder is 0?
:'D Was just wondering how synthetic division worked a few weeks ago. Thank you!
It has limitations though because you can't divide when the divisor has two different variables such as x + y. Long division is still necessary.
synthetic division is a shortcut form long division for the special case as explained.
that was excellent
first, thnx sal for helping me, great video
Wow, I forgot how to do long division... I learned that like 7 years ago... that's sad. I haven't USED it in 5 years. Then fractions became easier to use than division, then calculators became my main form of calculating.
Sal... i looooove you!!!
Do I put a 0 in if I'm missing a constant?
yes
What would happen if the x in (x+4) had a coefficient
when do you know if you have a remainder?
when the last addition does not add to 0
why do you turn (x+4) into the negative -4 when you do the synthetic division?
because it must be in the form x-c
so to make x+4 into x-c form it is essentially just saying
x- -4
i hope that makes sense
So that you dont need to keep remembering to subtract like in long division. When you negative that constant, you can now add instead of subtracting, since subtracting is a bit more tedious than adding
We subtract in division. So it makes sense to multiply negative and add it.however u can just keep it positive and subtract.
x+4 = 0, x = -4
How do you know what is a remainder and what isn't?
the remainder is after the 1st degree term
The remainder is after the 0 degree term
Okay
I didn’t understand why did u write the remainder -121 as -121/ (x-4)
Big like
thank you alibaba420
i thought you where supposed to add it not subtract?
this is traditional division algorithm. where we subtract it and not add
do you do all of this with a mouse?
THANKS BRO. I KNOW YOU'RE ALL BIG SHOT NOW WITH BILL GATES'S HELP, BUT THANKS FOR STILL PERSONALLY MAKING VIDEOS!!!
everyone explains how to use a washing machine but nobody explain how does it actually,basically works!!!!!!
hope you understand what I mean...
this is amazing