Find the polynomial function with integer coefficients that has given zeros
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- Опубліковано 7 жов 2024
- 👉 Learn how to write the equation of a polynomial when given complex zeros. Recall that 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. Also recall that when a complex number is a zero to a polynomial, the conjugate of the complex number will also be a zero to the polynomial.
To write the equation of a polynomial, we write the given zeros in factor form and expand the product of the factors. Thus, given a, b, . . . as zeros to a polynomial, we write the equation of the polynomial by expanding the factors (x - a)(x - b) . . . = 0
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✅Write the Equation of a Polynomial Given the Zeros
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✅Write the Equation of a Polynomial Given Complex Zeros
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✅Write the Equation of a Polynomial Given Real Zeros
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✅Write the Equation of a Polynomial Given Irrational Zeros
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✅Write the Equation of a Polynomial Given Imaginary Zeros
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This guy is an underrated goat. Everyone knows he got us through high school.
Yeah he really is the throat goat--i mean the math goat.
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he literally has helped me more with math than my math teacher lmao
still going through high school but this guy is helping a lot, I wish he was my teacher
Yep him and the organic chemistry tutor
I have literally watched all of your videos for my pre calc class. Thank you so much!
+samthethug6 Awesome! I will be making them all year long this year, as well, stay tuned
Thanks Mr. Clean!
+zach ribas haha you are very welcome!
I'm so grateful for these videos. You are helping me survive Wiley, and understand the material in general much better. Please never take them down.
i´ve been working for 30 minutes and you have helped me. thank you father
you are most welcome!
love this guy. makes a mistake, gets corrected, ignores correction, keeps on rolling. what a savage.
Thank you so much. You have helped a F student to a honors class stident and all bc of u qnd tyyyyyyy🎉🎉🎉🎉🎉
I have been trying to figure this out with Pearson's shitty instructions for about an hour. Thank you for breaking this down and giving that tip, I can move on with my life now.
bro literally lmfao
wait in the first example is it (x-2) for the first monomial
(x+2)
I think your student made a mistake there. It should be (x-2) @@brianmclogan
@@jerryjin3165 it is in fact (x-2)
One of his students pointed it out and he still ceased to change it
I thought my IQ had dropped even further for a second
How does this guy explain things so well but Pearson can give us a complete goober of a teacher on a video which leaves you more confused than ever:
SO TRUE OMG.
that's okay, you probably have not experienced the beauty of it, just the memorization
omg i wish you were my precalc professor!!! my professor sucks!! thank you verrrrrryyyy much
You are the reason I'm passing math thank you I love you
thanks! : )
thank you, I didnt get this for the past 2 months and now i do, especially with that parenthesis trick you did there, that helped me figure this out
awesome! I love that trick, didn't learn it till I was a teacher, saved me a lot of time
Thanks man, I wasted a week trying to understand this. Then I watch this video and within 5 minutes I got that light bulb to popped in my head.
awesome! that is a great feeling, happy to be able to help
You explain very well. Thank you!
Thank you magic math man with this video you have helped me pass my algebra 3 finale
+Megawearwolf34 happy to help but congrats to you on the hard work
THANK YOU for the awesome videos. Keep on keepin' on!
thank you!
Thank you very much 😊
thanks g 🙏🏽 many blessings
lol i hate math!
Where did the 8x come from?
You just saved my life
Can someone please explain where and how the 8x magically comes in?
thats what im trying to figure out
This helped SO much!! Thank you for this!!!
+Kyanni Aguirre you are very welcome! happy to help!
I have been steering at the x+2 the whole time and I'm like why don't he changes it? I thought I was wrong for my whole life... lol
carrying my algebra 2 grade at this point holy shit
what is the polynomial of the smallest degree with integer coefficient and with zero's 3, 1+¡, - 1
Answer please
Very cool
at 1:42, i was already confused.
Where did the 17 come from? What did you multiply by to get that number?
He multiples the 4 twice to get 16 and adds 1 to get 17
-1^2 = 1 -> why he added 1 (confusing because he said -1)
Thank you realy you helped me
happy to be able to help
What if the zero is a square root
What to do in case we have the cube root of a number as a zero??
Would (a-x) and (-x+a) work just like (x-a)?
How can you find a polynomial equation with integral coefficients (and lowest degree) that has the given roots?
Example: 3-2i
Here is a playlist I have of similar videos ua-cam.com/play/PL0G-Nd0V5ZMrkm582S7KocGt2DKHGxD2q.html
GOD BLESS YOU!!!!!!!!!!!!!!!!!!!!!!
happy to be able to help you out!
Brian McLogan i got on confused on the second part where you did f(x) is equal to (x-2) etc
bestie im failing my test tomorrow
Why couldn't you be my math teacher. I'm just trying to get a degree 😩
If you any problems in math than you send me question I am solve it I am teacher in india
Thank you! •♾
How did you get the 17 ?
this was almost a year ago, but i think it was that +1 after the parenthesis
well f*ck me I'm lost on this one. looks like I'm taking a zero
Your a beast
How would you solve if it was 5,-4/3,4/5
+Reema Samrah2 sorry only have time to work on requests from my class
(x-5)(x+4/3)(x-4/5)=0
evaluate
x^3+(-5+4/3-4/5)x^2+(-5×4/3+-5×-4/5-4/3×4/5)x+(-5×4/3×-4/5)=0
make fractions have equL denominators
x^3-(67/15)x^2+(-56/15)x+(80/15)=0
multiply everything with the lcm of the denominators
15x^3-67x^2-56x+80=0
@@koenth2359 Bro tries to be helpful 3 years later.
@@dylanjones7904 Two more years later...