How to Find the zeros of a function
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- čas přidán 25. 01. 2012
- 👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values of x for which the value of the polynomial is zero.
To find the zeros of a polynomial that cannot be easily factored, we first equate the polynomial to 0. Next, we 'guess' one of the factors of the polynomial and then use synthetic division or long division to find other factor(s) the polynomial. After we have obtained the factors and have factored the polynomials, we can then use the zero-product property, quadratic formula or any other applicable property or formula to evaluate the factored polynomial and hence obtain the zeros of the polynomial.
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Organized Videos:
✅Zeros of a Polynomial by Factoring
• Zeros of a Polynomial ...
✅Zeros and Multiplicity of Polynomials | Learn About
• Zeros and Multiplicity...
✅How to Find all of the Zeros by Sum and Difference of Two Cubes
• How to Find all of the...
✅How to Find all of the Zeros by Grouping
• How to Find all of the...
✅How to Find all of the Zeros in Factored Form
• How to Find all of the...
✅How to Find all of the Zeros by Factoring 5th Degree
• How to Find all of the...
✅How to Find all of the Zeros by Difference of Two Squares
• How to Find all of the...
✅How to Find all of the Zeros by Factoring 4th Degree
• How to Find all of the...
✅How to Find all of the Zeros of a 3rd Degree Polynomial
• How to Find all of the...
✅How to Find all of the Zeros Without Factoring
• How to Find all of the...
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This was actually really helpful since i fell asleep in class😅
Did you pass?
lol i was gonna ask the same thing. it’s been 4 years and now i’m doing the same math😭
you are literally an angel.. my teacher literally doesn’t teach… soooo u are the only reason why i am somewhat passing this class
It’s my 6th time watching this and it finally makes sense. Thx
omg i finally get my math lesson ,,,this channel is a gift from god
I saw this was posted 11 years ago and got sad but your still posting! ❤ thank you
💪
Studying for union entrance exam and my god you're a mf lifesaver. Didn't pay attention in class and had a hard to understand teacher learning this stuff. Thank you.
You are very welcome!!
This tutorial was really helpful, quadratics are complicated and this really helped me understand, thank you!
Thank you for this video, had a test coming up and completely mixed up my formulas :/
i like your name
THANK YOU VERY MUCH
You're a life saver🙌🙌🙌🙏🙏🙏
my bro just got beat up nlg
💀💀
fr what happened bru
Unsure of what to do since my numbers using the diamond trick are to multiply to 33 and add to -15
What if the expression isnt factorable?
I don't understand how you got x=1 and x=-5 when it could be the same as x=-1 and x=5
How do you know for sure which number is actually the negative?
Ummm 2+2
1-5=-4
and
5-1=4
you get different ans
because if you do -5 plus 1 that would be -4 but your b value is positive 4 not a negative four
Thank you!!
Thank you x 1000000
Watching from india....
no one cares
@@Eclipse-mk3hm .
I'm a little late but how does a all positive find the zero of the function go like f (x) = 2x/2 + 12x + 10
how did you gety 3x-7 at 6:20 where is this magic 3x and 7 coming from when you just had -7(x-3)
Ohmygaawd mom im learning! Get the cameraa
Goshh** lol fr though.
But how do you know off the top of your head what numbers multiply and add to the same value.. what do people do who don't know those values off the top of their head....
use the guess and check method
legend
i think the answer for the last one is 1\2 and -1\2
You should model
POV: your watching this the day before state exams 😢
I wanna know who busted my mans nose and who we gotta jump
Rugby
@@brianmclogan absolute legend
number three you said 11-7 haha sorry i thought it was funny it was 11-x
hey brian baby
Yea I’m not understanding how you get 3x-7 at 6:20🫣, had to keep rewatching but I still don’t understand
Not good at explaining but in equation above that (the one where u got confused) it shows 0=3x(x-3)-7(x-3). Then right after he gets an equation of 0=(x-3)(3x-7). He gets the 3x & -7 from the terms outside of the parenthesis of the equation 0=3x(x-3)-7(x-3). So, he keeps the (x-3) and drops it down into a new equation and then takes the terms that aren't in parenthesis and puts them into a factor so that the equation equals its original trinomial (in this case 3x & -7).