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Applying Rational Zero Test Then Find All of the Zeros

246 views · Published 20 September 2012 · 4:30 · Indexed 28 October 2026

Channel: Brian McLogan · 2012 · Education

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👉 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
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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