Download "How to Solve Advanced Cubic Equations: Step-by-Step Tutorial"

"videoThumbnail How to Solve Advanced Cubic Equations: Step-by-Step Tutorial

0:00

Intro

1:38

Step 2 Check

5:55

Step 4 Solve

9:05

Step 5 Check

Serie Compleja y trigonométrica de Fourier de exponencial

Serie Compleja y trigonométrica de Fourier de exponencial

Channel: MateFacil

02. Definición EXACTA de Número Complejo

02. Definición EXACTA de Número Complejo

Channel: MateFacil

01. What are complex numbers?

01. What are complex numbers?

Channel: EasyMath

How to draw lighthouse in raining for beginners with step by step pencil art

How to draw lighthouse in raining for beginners with step by step pencil art

Channel: PAINTLANE

Working on a HP EliteBook 2540p laptop - upgrade SSD, RAM and W10

Working on a HP EliteBook 2540p laptop - upgrade SSD, RAM and W10

Channel: Ultimate DIY

Drawing and shading a bird with pencil for beginners || step by step pencil art

Drawing and shading a bird with pencil for beginners || step by step pencil art

Channel: PAINTLANE

EDP de onda unidimensional, separación de variables, Método de Fourier

EDP de onda unidimensional, separación de variables, Método de Fourier

Channel: MateFacil

DOLCE GUSTO Infinissima - Step by step disassembly - NESCAFE KRUPS KP170

DOLCE GUSTO Infinissima - Step by step disassembly - NESCAFE KRUPS KP170

Channel: Adrian B.

39. Regiones en el plano complejo: Circunferencias

39. Regiones en el plano complejo: Circunferencias

Channel: MateFacil

The Fermat Point of a Triangle | Geometric construction + Proof |

The Fermat Point of a Triangle | Geometric construction + Proof |

Channel: Think Twice

problem

Premath

math

mathematics

maths

factor

quadratic

cubic

linear

any

equations

equation

solution

answer

questions

algebra

precalculus

trigonometry

trig

simple

quick

easy

fast

help

tutor

teacher

method

solve

video

videos

tutorial

squared

cubed

third

degree

power

three

number

variable

coefficient

premath.com

solving

find

answers

check

teach

alternative

sum

total

binomial

polynomial

trinomial

monomial

division

synthetic

multi

step

leading

rational

fraction

standard form

^3

00:00:00

hello again everyone in this video

00:00:02

tutorial we are going to solve this

00:00:05

given cubic equation and at the end we

00:00:09

are going to check our answer as well to

00:00:14

make things simple I want to make sure

00:00:16

that you keep in your mind that our this

00:00:19

original equation should look like this

00:00:22

standard form like this one over here

00:00:25

you can compare it so that means your a

00:00:28

is going to be 2 B is 1 C is negative 13

00:00:33

and B is positive 6 so the very first

00:00:38

step what we're going to do is we want

00:00:40

to check to see if x equals to 1 and X

00:00:44

equal to negative 1 are the solution to

00:00:48

this equation because those are easy to

00:00:51

find therefore in the very first step

00:00:55

we're going to be checking whether X

00:00:58

equal to 1 is our solution and here is

00:01:03

the rule it states that if you add a

00:01:07

plus B plus C plus D and that turns out

00:01:11

to be 0 then one of our solution is

00:01:14

going to be x equal to 1 in our case a

00:01:17

equals to 2 B equals to 1 C equals to

00:01:21

negative 13 and D equal to 6 and if you

00:01:25

add them up this adds up to negative 4

00:01:29

if you do that 1 which is not a zero so

00:01:33

that means x equals to 1 is not a

00:01:36

solution and now in step 2

00:01:40

we also want to check whether X equal to

00:01:43

negative 1 is a solution and there is a

00:01:48

rule over here that states that if you

00:01:52

add the alternate coefficients the terms

00:01:58

the coefficients and over here this one

00:02:02

if you add these coefficients to and

00:02:06

this one is negative 13 the alternate

00:02:09

terms coefficients so that's going to

00:02:11

give you

00:02:13

negative 11 isn't it and this has a

00:02:17

coefficient 1 if you add this

00:02:20

coefficient to 1 plus 6 becomes 7 are

00:02:26

these numbers same they are not same if

00:02:30

these two numbers are not same that

00:02:35

means this is not X equal to negative 1

00:02:40

this X equal to negative 1 is also

00:02:43

always going to be the solution if these

00:02:46

two numbers must be same so we ruled out

00:02:50

X equal to negative 1 as well so we have

00:02:56

found out that X equal to 1 and X equal

00:03:00

to negative 1 are not our solutions and

00:03:05

in this step now we're going to look for

00:03:08

other possible solutions before we do

00:03:12

that one I want you to look at the

00:03:14

leading coefficient I want you to call

00:03:17

this one Q and the on the other hand

00:03:20

this number 6 I want you to call P let

00:03:25

me ask you now what is what are your

00:03:31

divisors of P which is 6 so the divisors

00:03:35

of P are simply 6 R what are the devices

00:03:39

of 6 positive or negative 1 positive or

00:03:43

negative 2 positive or negative 3 and

00:03:48

positive or negative 6

00:03:50

isn't it and now let's do the positive

00:03:54

the divisors of Q which is true the

00:03:59

divisors of 2 are going to be a positive

00:04:03

or negative 1 and positive or negative 2

00:04:08

isn't it

00:04:09

now what I want you to do is I want you

00:04:11

to divide P over Q this is equal to

00:04:16

these numbers on the top like this one

00:04:19

now what we're going to do is I want you

00:04:23

to simply now we have a P over Q

00:04:26

you see this thing now we're gonna see

00:04:29

what are the numbers that we're gonna

00:04:32

divide this into this one so let's

00:04:34

divide positive or negative one into all

00:04:37

these numbers and you divide by one so

00:04:40

we're gonna get simply positive negative

00:04:42

one positive negative to positive

00:04:46

negative 3 and positive negative 6 so

00:04:51

far so good

00:04:52

now I want you to divide these top

00:04:55

numbers by 2 now positive and negative 2

00:04:57

so 1 over 2 this become positive and

00:05:01

negative 1 over 2 and then 2 over 2 is 1

00:05:05

already we already have a 1 we don't

00:05:07

need to and then finally it's gonna be

00:05:10

positive or negative 3 over 2 and then 2

00:05:16

divided by 6 is 3 which is already here

00:05:19

so we have these numbers we're gonna see

00:05:22

if there's any solution among these ones

00:05:26

so the very first thing in the previous

00:05:28

step we already found out that x equals

00:05:31

to 1 and X equal to negative 1 are not

00:05:35

solution we ruled them out so now let's

00:05:38

try x equals to 2 so now we're going to

00:05:42

try X equal to see whether this is a

00:05:45

solution to this our given cubic

00:05:47

equation for that one we need to use the

00:05:52

synthetic division that's what we're

00:05:55

gonna do now now let's go ahead and

00:05:57

start plugging in the numbers right now

00:06:00

what are the coefficients over here for

00:06:03

this equation 2 over there's no

00:06:07

coefficients can be a 1 this is negative

00:06:09

13 and there's 6 I want you to just

00:06:12

write it down 2 1 negative 13 and 6 and

00:06:19

the outside number is going to be this X

00:06:21

equal to 2 and let's get started I want

00:06:25

you to bring down this

00:06:33

- right up here as it is now I want you

00:06:37

to simply diagonally multiply two times

00:06:41

two is four add the map one plus four is

00:06:44

five multiply this two times five that's

00:06:48

gonna give you ten so if you add them

00:06:52

that's gonna give you negative three

00:06:54

multiply this one out so that is gonna

00:06:59

give you negative six 6 and negative six

00:07:02

they add up to zero and that is our

00:07:08

remainder and now since remainder turned

00:07:12

out to be equal to zero now I want you

00:07:15

to use this fact if remainder is 0 then

00:07:18

this given x equals to 2 is indeed our

00:07:24

solution so we figured out one of the

00:07:27

solution which is X equal to 2 now what

00:07:30

next step is I want you to look at these

00:07:33

numbers that we got with synthetic

00:07:35

division I want you to put X square for

00:07:39

this one X for this one and and this

00:07:43

becomes a constant so this could be

00:07:45

written as 2x squared plus 5x minus 3

00:07:53

equal to 0 which is a quadratic equation

00:07:57

you can see that 1 and we can easily

00:08:01

factor it out so what are the possible

00:08:05

factors so the factor factor is going to

00:08:07

be X plus 3 and the other one is going

00:08:13

to be 2x minus 1 so far so good

00:08:19

now I want you to split them up so X

00:08:23

plus 3 equal to 0 and 2x minus 1 equal

00:08:30

to 0 this is gonna give you X equal to

00:08:34

negative 3 as your one of the solution

00:08:37

and this I want you to bring this

00:08:40

negative 1 on the other side so 2x

00:08:42

become positive on

00:08:44

by two so X turns out to be 1 over 2 as

00:08:49

your another solution thus our solution

00:08:55

set turns out to be to the one we

00:08:58

already got a two solution and then the

00:09:01

other ones are negative 3 & 1 over 2 now

00:09:05

the in this step finally we want to

00:09:08

check our answer

00:09:09

so as we figured out our solution set

00:09:12

was 2 negative 3 & 1 over 2 I want you

00:09:16

to add all these solutions right up here

00:09:18

I want you to put down 2 plus negative 3

00:09:22

plus 1 over 2 on the left hand side and

00:09:27

ask yourself is this equal to negative B

00:09:32

over a now you might be wondering what

00:09:36

is a and what is B in this original

00:09:39

equation this is our a B is 1 C is

00:09:46

negative 13 and D is 6 so minus B over a

00:09:53

is simply equal to negative 1 over 2 so

00:09:59

that means now if you add and subtract

00:10:03

everything you're gonna see that we're

00:10:05

gonna have a negative 1 over 2 on the

00:10:08

left hand side and on the right hand

00:10:11

side minus B over a it turns out to be

00:10:14

negative 1 over 2 as well isn't it now

00:10:18

ask yourself is this statement true yes

00:10:21

this statement is true so thus X equal

00:10:26

to 2 X equal to negative 3 and X equal

00:10:29

to 1 R 1 over 2 are our solutions and

00:10:33

finally here is the graph of our given

00:10:37

cubic function and you see there are

00:10:39

three X intercepts so these are in other

00:10:43

words they are our solutions thanks for

00:10:46

watching and please subscribe to my

00:10:48

channel for more exciting videos

Description:

Learn how to Solve Advanced Cubic Equations using Synthetic Division. Also learn how to Check your Answer Algebraically and Graphically (Graph of the Cubic Equation is Provided). Step-by-Step Tutorial by PreMath.com

Preparing download options

Popular

HD video

Only sound

All

* — If the video is playing in a new tab, go to it, then right-click on the video and select "Save video as..."

** — Link intended for online playback in specialized players

Questions about downloading video

How can I download "How to Solve Advanced Cubic Equations: Step-by-Step Tutorial" video?

http://unidownloader.com/ website is the best way to download a video or a separate audio track if you want to do without installing programs and extensions.
The UDL Helper extension is a convenient button that is seamlessly integrated into YouTube, Instagram and OK.ru sites for fast content download.
UDL Client program (for Windows) is the most powerful solution that supports more than 900 websites, social networks and video hosting sites, as well as any video quality that is available in the source.
UDL Lite is a really convenient way to access a website from your mobile device. With its help, you can easily download videos directly to your smartphone.

Which format of "How to Solve Advanced Cubic Equations: Step-by-Step Tutorial" video should I choose?

The best quality formats are FullHD (1080p), 2K (1440p), 4K (2160p) and 8K (4320p). The higher the resolution of your screen, the higher the video quality should be. However, there are other factors to consider: download speed, amount of free space, and device performance during playback.

Why does my computer freeze when loading a "How to Solve Advanced Cubic Equations: Step-by-Step Tutorial" video?

The browser/computer should not freeze completely! If this happens, please report it with a link to the video. Sometimes videos cannot be downloaded directly in a suitable format, so we have added the ability to convert the file to the desired format. In some cases, this process may actively use computer resources.

How can I download "How to Solve Advanced Cubic Equations: Step-by-Step Tutorial" video to my phone?

You can download a video to your smartphone using the website or the PWA application UDL Lite. It is also possible to send a download link via QR code using the UDL Helper extension.

How can I download an audio track (music) to MP3 "How to Solve Advanced Cubic Equations: Step-by-Step Tutorial"?

The most convenient way is to use the UDL Client program, which supports converting video to MP3 format. In some cases, MP3 can also be downloaded through the UDL Helper extension.

How can I save a frame from a video "How to Solve Advanced Cubic Equations: Step-by-Step Tutorial"?

This feature is available in the UDL Helper extension. Make sure that "Show the video snapshot button" is checked in the settings. A camera icon should appear in the lower right corner of the player to the left of the "Settings" icon. When you click on it, the current frame from the video will be saved to your computer in JPEG format.

What's the price of all this stuff?

It costs nothing. Our services are absolutely free for all users. There are no PRO subscriptions, no restrictions on the number or maximum length of downloaded videos.