Writing Polynomial Functions With Given Zeros | Precalculus

This precalculus video tutorial provides a basic introduction into writing polynomial functions with given zeros which can be real numbers, imaginary numbers, or complex roots.

Polynomials - Basic Operations:

Dividing Polynomials By Monomials:

How To Graph Polynomial Functions:

Intermediate Value Theorem:

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Long Division - Polynomials:

Polynomial Long Division - More Examples:

Synthetic Division of Polynomials:

Remainder Theorem & Synthetic Division:

Factor Theorem & Synthetic Division:

Rational Zero Theorem:

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Real & Imaginary Solutions - Polynomials:

Solving Polynomial Equations - Synthetic D:

Solving Polynomial Equations With Excel:

Writing Polynomial Functions Given Zeros:

Descartes Rule of Signs:

Solving Polynomial Inequalities:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[cheshire__kat]

Thank you so much! I swear, I depend on you so much when it comes to science and math. I wonder how people used to study without your videos, it would've been hella difficult.

[itzagutierrez]

My teacher explained this so badly, you helped me out a lot thanksss!

[georgesadler]

MR. Organic Chemistry Tutor, thank for an excellent introduction to Writing Polynomial Functions with Given Zeroes. These polynomials contain real, complex, and imaginary roots.

[Khaled]

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[aniqua_]

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[sjdkd]

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[stevefoster]

Best on YouTube I have ever seeing do Mathematica

[lizamelchukov]

Thank you for your hard work! This video helps a lot!

[Realplayman]

What application do you use to write these

[hatakekakashi]

How do you write a polynomial function?

[elPirataSEBAS]

What if you have N=3

-1 and 3+2i are zeros

Leading Coefficient is 1


I understand how to do it but the leading coefficient is 1 is throwing me off I don’t know what to do that after grouping (x+1)(x^2-4x+13)

[addiisaurusrex]

So where does the f(3) come in? Not sure where you're getting that from

[nero]

I want this guy to bear my kids ( I'm a guy)

[vickyvasquz]

is f(x) the same as the Y intercept they didn’t put f(x) just gave Y- intercept

[lmSnarkk]

Great video, but what if a=0? My professor wants f(0)=320 instead of f(3)=6

[Wheezall]

this doesnt help, i am ONLY given zeros. NOT this extra information he uses

[skylarblue]

my teacher keep skipping to the next slide any time i was trying to figure it and and i want to scream thank yoy