In problem 3 why only take x but not 3x ? with 3x it works it will give us -------> 3x (3x^2 - 4x + 2) can I use your method as an alternative to polynomial long division ?
I have another question is the quadratic polynomial roots are imaginary or complex roots. Is their another method to find the roots instead of Quadratic formula ? For example, what are the roots of this quadratic polynomial: 3x^2 - 4x + 2 ?
No, he didn't get it wrong, he got it right.... whether you factor out 3x, or just 3, or just x, whether you partition the trinomial into 9x^3/2x - 12x^2/2x + 6x/2x and simplify, you will get the SAME RESULT. You see, in math there are many different ways to solving problems and arriving to the same answer. Nonetheless, no matter how you solve the answer, if you follow the steps correctly you will get the same results... that's what makes math so reliable.
dude I'm an 11th grader studying for a test on rational expressions for tomorrow and I don't understand anything. Take a chill pill and enjoy the 7th grade. What are you learning in class right now? Integers? Damn kid, you're doing better than I am.
@@peadarmacnevin47 ah, that changes everything. Because in asian countries like china, india, korea, and japan, mathematics is taken every semester of every year, which is why you are ahead. I am from Canada so we only have math once a year.
At 5:42, the restriction should be x can't be -3!!
@AllThingsMathematics I do understand now!
you teach well and have a great site. you should definitely cover functions & adv function in its entirety if you haven't already.
6:38 Would it work to take out 3x from the numerator instead of only taking out x?
True but it works out to be the same answer tho.
In problem 3 why only take x but not 3x ? with 3x it works it will give us -------> 3x (3x^2 - 4x + 2)
can I use your method as an alternative to polynomial long division ?
why can you not take out 3x on the last rational expression question in the numerator?
^^^???
Thanks for the tips, you probably saved me
Do you factor out Least Common Multiple (LCM) or Greatest Common Factor (GCF)?
GCF
Thanks a lot professor for your videos. I follow you from Algeria.
Hi. For the second question isn't the restriction x can not equal -3, instead of positive 3
He made a writing error but you can hear him say negative 3.
@@justiceb9766 thanks
in the restriction of the second one x deosnot eqaul to - 3 not to 3
ughhhhhh lolll........yea I screwed up, thanks for pointing it out!
You are amazing 👏
the answer for 3 is, 3(3x^2-4x+2)/2
wait i don't understand how you got that at 4:14
Maybe 2x and 5x is same variables then you had to simplify fractions! 4:15.
I have another question is the quadratic polynomial roots are imaginary or complex roots. Is their another method to find the roots instead of Quadratic formula ?
For example, what are the roots of this quadratic polynomial: 3x^2 - 4x + 2 ?
You got the #3 wrong. when you factor the numerator is 3x (3x^2-4x+2)/2x
No, he didn't get it wrong, he got it right.... whether you factor out 3x, or just 3, or just x, whether you partition the trinomial into 9x^3/2x - 12x^2/2x + 6x/2x and simplify, you will get the SAME RESULT. You see, in math there are many different ways to solving problems and arriving to the same answer. Nonetheless, no matter how you solve the answer, if you follow the steps correctly you will get the same results... that's what makes math so reliable.
Can anyone else just not focus on the what he’s trying to teach? Orrrr..😭😭
wait i am a grade 7 and how am i studying this already
dude I'm an 11th grader studying for a test on rational expressions for tomorrow and I don't understand anything. Take a chill pill and enjoy the 7th grade. What are you learning in class right now? Integers? Damn kid, you're doing better than I am.
@@mehakverma7043 im asian.
@@peadarmacnevin47 ah, that changes everything. Because in asian countries like china, india, korea, and japan, mathematics is taken every semester of every year, which is why you are ahead. I am from Canada so we only have math once a year.
@@mehakverma7043 im not from those countries but ok
@@peadarmacnevin47 I named those countries because I am not sure about the education system in other asian countries.