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Find All the Zeros Using of a Polynomial to the 4th Power

1,069 views · Published 18 September 2012 · 5:14 · Indexed 20 October 2026

Channel: Brian McLogan · 2012 · Education

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👉 Learn how to find all the zeros of a polynomial. 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, we first equate the polynomial to 0 and then use our knowledge of techniques of factoring polynomials to factor the polynomial. After we have factored the polynomial, we can then use the zero-product property to evaluate the factored polynomial and hence obtain the zeros of the polynomial. 

Recall that the zero-product property states that when the product of two or more terms is zero, then either of the term is equal to 0.

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Organized Videos:
✅Zeros of a Polynomial by Factoring
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrD4VoPSY-LvhAzBhi9DwzM
✅Zeros and Multiplicity of Polynomials | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpd8JL1ecuHNExy7_O8fSw4
✅How to Find all of the Zeros by Sum and Difference of Two Cubes
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpXA1NlprGrz2-AV1Ja6ZiL
✅How to Find all of the Zeros by Grouping
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMps2RYRFQllsvDt65VOfm0P
✅How to Find all of the Zeros in Factored Form
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoFfALLnEBSUUMyfIx4K1Tn
✅How to Find all of the Zeros by Factoring 5th Degree
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMplvUrrKIhjmtpj4cvkHhjN
✅How to Find all of the Zeros by Difference of Two Squares
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpN7cM69f4aFf5NBNlgdbSz
✅How to Find all of the Zeros by Factoring 4th Degree
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrjL0NiGL4ArrvMmgigfTVV
✅How to Find all of the Zeros of a 3rd Degree Polynomial
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq0EJuu-Kc0KFh8SJRUjLAO
✅How to Find all of the Zeros Without Factoring
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpa6Q2M4xepRsfNMsR6TYIP


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