Find the polynomial function with integer coefficients that has given zeros

👉 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

Organized Videos:
✅Write the Equation of a Polynomial Given the Zeros
✅Write the Equation of a Polynomial Given Complex Zeros
✅Write the Equation of a Polynomial Given Zeros with Fractions
✅Write the Equation of a Polynomial Given Real Zeros
✅Write the Equation of a Polynomial Given Irrational Zeros
✅Write the Equation of a Polynomial Given Imaginary Zeros
✅Write the Equation of a Polynomial Given Zeros | Learn About

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[StinkyChonies]

This guy is an underrated goat. Everyone knows he got us through high school.

[samthethug]

I have literally watched all of your videos for my pre calc class. Thank you so much!

[emilycraig]

i´ve been working for 30 minutes and you have helped me. thank you father

[giancarlodisalvo]

love this guy. makes a mistake, gets corrected, ignores correction, keeps on rolling. what a savage.

[jordansmith]

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.

[johnbuckland]

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.

[christechguy]

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:

[koenb]

wait in the first example is it (x-2) for the first monomial

[nickolairice]

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[princesssoso]

omg i wish you were my precalc professor!!! my professor sucks!! thank you much

[another_german]

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.

[gabbygerman]

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[ferdinandluisbeltran]

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

[brianmclogan]

that's okay, you probably have not experienced the beauty of it, just the memorization

[Megawearwolf]

Thank you magic math man with this video you have helped me pass my algebra 3 finale

[princezionodom]

Can someone please explain where and how the 8x magically comes in?

[marahowell-vandenberg]

THANK YOU for the awesome videos. Keep on keepin' on!

[learnwithanjali]

what is the polynomial of the smallest degree with integer coefficient and with zero's 3, 1+¡, - 1

[emmadavis]

Where did the 17 come from? What did you multiply by to get that number?

[kyanniaguirre]

This helped SO much!! Thank you for this!!!