Zeros of Polynomial Functions

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  • Опубліковано 9 лют 2025

КОМЕНТАРІ • 26

  • @erwincarey
    @erwincarey 3 роки тому

    I was actually struggling at polynomial functions yet fortunately I found this lecture video! Thanks for making math easier Teacher Didith!

  • @punzalanjuaimahmaureenr.3310
    @punzalanjuaimahmaureenr.3310 2 роки тому

    Another week has passed, and this week is not just an ordinary week,
    because we are now seeing each other through the face-to-face mode of
    learning. After almost 3 years, we are now finally back. I am so glad,
    happy, and joyful that I can even describe it in words. But enough with
    that I must state my learnings, in our first day of class, we reviewed the
    different factoring formulas that you taught us during our Grade 8
    Mathematics class such as the common monomial factor, the difference
    between two squares, etc. On our 2nd day of class, you taught us how
    the rational root theorem works. According to the Rational Root
    Theorem, a polynomial function's potential rational zeros have the form
    p/q, where p and q are, respectively, factors of the function's constant
    term and leading coefficient.

  • @vienavelasquez7576
    @vienavelasquez7576 3 роки тому

    Velasquez, Viena Marie C.
    10 - Entrepreneurship
    In this lesson, I now have a better grasp of some of the factoring formulas because we recalled previous lessons about them. We also recalled the Remainder Theorem and the Factor Theorem to get the zeros of polynomial functions. I was introduced to the Rational Root Theorem which states that the possible rational zeroes of a polynomial function f(x) are of the form p/q. Where p is for the factors of the constant term and q is for the factors of the leading coefficient. This theorem aids us in finding the possible rational zeros of a polynomial function. Thank you.

  • @seanandresantos7249
    @seanandresantos7249 3 роки тому

    Santos, Sean Andre D.
    10-Bookkeeping
    The Rational Root Theorem is explained in this lesson, which asserts that the potential rational zeros of a polynomial function are of the form p/q, where p and q are factors of the function's constant term and leading coefficient, respectively. Aside from the Remainder Theorem and Factor Theorem, the Rational Root Theorem is another essential concept for determining the probable zeros of a polynomial function. It has helped me understand polynomial functions better, which will be useful in the future.

  • @larajadesummerjavillo8481
    @larajadesummerjavillo8481 3 роки тому

    Javillo, Lara Jade Summer
    10 - Bookkeeping
    It is important to recall and understand our previous lessons about factoring and both the remainder and factor theorem to find the zeros of polynomial functions. In the lecture video, Rational Root Theorem (which indicates that the possible rational zeroes of a polynomial function are of the form p/q) was introduced, which serves as the easier way to determine the answer or solution in finding zeros of polynomial functions. The P represents the factors of the constant term, and q represents the leading coefficient.

  • @aquinomarkjeffersonm.6095
    @aquinomarkjeffersonm.6095 2 роки тому

    Aquino, Mark Jefferson M.
    [10-Bookkeeping]
    The video recalls the factoring formulas that will be used to identify the zeros of polynomial functions. Additionally, the previous lessons tackled such as the remainder theorem, factor theorem, and synthetic division were also used. Lastly, the Rational Root Theorem states that the possible rational zeros of a polynomial function are of the form p/q, where p and q are factors of the constant term and leading coefficient of the function, respectively.

  • @nathanielhernandez7914
    @nathanielhernandez7914 3 роки тому

    Nathaniel C. Hernandez
    10 - Office Technology
    The lesson taught us how to find the zeros of a polynomial function. We can use the Rational Root Theorem, which states that the possible rational zeros of a polynomial function are of the form p/q, where p are factors of the constant term and q is the leading coefficient of the function.

  • @ralphmarkecyrusreputas7158
    @ralphmarkecyrusreputas7158 3 роки тому

    Reputas, Ralph Marke Cyrus C.
    10 - Bookkeeping
    To conveniently solve for the zeroes of a polynomial function, we should use the Rational Root Theorem, since it gives us the possible rational roots that can be replaced to a variable to find the zero of a polynomial. In finding the zeroes of a polynomial, the video recapped some factoring methods as well as the Remainder and Factor Theorems.

  • @bernaleselizamarid.3219
    @bernaleselizamarid.3219 3 роки тому

    Bernales, Eliza Mari
    10 - Bookkeeping
    The video discussed about how to find the zeros of polynomial functions, wherein "zeros" refer to the root or solution. We first did a recall about the different factoring formulas, the remainder theorem, and factor theorem. Then, we discussed about the rational root theorem which states that the possible rational zeros of a polynomial function are in the form p/q, where p is the factor of the constant term and q is the factor of the leading coefficient of the function.

  • @cla____ei
    @cla____ei 3 роки тому

    Layola, Crystal Lei M.
    10-Bookkeeping
    For this lesson, the remainder and factor theorem (which were previously discussed) were utilized along with other mathematical concepts to find the zeros of polynomial functions and to solve polynomial equations as well. After the review of the basic factoring formulas and solving an adequate number of problems using these and the theorems mentioned, the rational root theorem stating that "the possible rational zeros of a polynomial function are of the form p/q, where p and q are factors of the constant term and leading coefficient of the function" was introduced.

  • @dawngend
    @dawngend 3 роки тому

    Pamesa, Dawn Andrei C.
    10-Bookkeeping
    In this lecture video, we recalled some factoring formulas like Remainder and Factor Theorem. We recalled this so that we can understand the Rational Root Theorem. The Rational Root Theorem states that the possible rational zeroes of a polynomial function are of the form p/q, where p and q are factors of the constant term and leading coefficient of the function

  • @panedaandreanicolei.1801
    @panedaandreanicolei.1801 2 роки тому

    Paneda, Andrea Nicole I.
    10 - Bookkeeping
    I have learned the previous factoring formulas we have learned, the common monomial factor, difference of two squares, perfect square trinomials, sum of two cubes, and difference of two cubes. The zeros of a polynomial function are the solutions or roots, to find the zeros, we must factor them completely. The Rational Root Theorem states that the possible rational zeros of a polynomial function are of the form p/q such that p and q are the factors of the constant term and leading coefficient of the function, respectively. If the possible zeros (p/q) aren't equated to zero, then the zeros are not rational, rather they are complex.

  • @alviarkurtbenedictp.8018
    @alviarkurtbenedictp.8018 3 роки тому

    Alviar, Kurt Benedict P.
    10-Bookkeeping
    In this lesson, the zeros of a polynomial function can be found by doing different factoring formulas, along with the Remainder and Factor Theorems. Each of the factors obtained is then linked to zero and solved by the method of the Zero Factor Theorem. One more practical way for finding the possible zeros of the polynomial function is the Rational Root Theorem, which states that the possible rational zeros of a polynomial function are of the form p/q, where p and q are factors of the constant term and leading coefficient of the function.

  • @charlenegaylepalana6201
    @charlenegaylepalana6201 3 роки тому

    Charlene Gayle Palaña
    10-Office Technology
    The Rational Root Theorem says that a polynomial function's probable rational zeros are of the form p/q, where p and q are factors of the constant term and leading coefficient of the function, respectively. We learned how to find the zeros of polynomial functions using this theorem. We also remembered the factoring formulas, which helped us better grasp the topic.

  • @bonajosrianniemitzyd.7808
    @bonajosrianniemitzyd.7808 3 роки тому

    Riannie Mitzy D. Bonajos
    10-Bookkeeping
    In today's lesson, we first recalled the Remainder and factor theorems. We also discussed Rational Root Theorem wherein the rational zeros of a polynomial function are of the form p/q. P is the factor of the constant term while q is the leading coefficient of the function.

  • @joannamarieguzman4512
    @joannamarieguzman4512 3 роки тому

    Guzman, Joanna Marie P.
    10 - Bookkeeping
    In this lesson, we learned how to find the zeros of a polynomial function, it refers to the roots or solutions of the functions. In order to understand the lesson better, we first reviewed various factoring formulas that were taught to us previously, such as the Remainder Theorem and the Factor Theorem. In this video, we were introduced to the Rational Root Theorem which states that the possible rational zeros of a polynomial function are of the form p/q where p and q are factors of the constant term and leading coefficient of the function, respectively.

  • @gonzaleskylajasminem.9060
    @gonzaleskylajasminem.9060 3 роки тому

    Gonzales, Kyla Jasmine M.
    10-Office Technology
    In this video, we had a recall of the theorems previously tackled from the last quarter. The Factor and Remainder Theorem helps us deepen our understanding on the Rational Root Theorem. The Rational Root Theorem states the possible rational zeros of a polynomial function are of the form p/q, wherein p and q are factors of the constant term and leading coefficient of the function.

  • @chrstnalfnso
    @chrstnalfnso 3 роки тому

    Alfonso, Christian D.S.
    10-Bookkeeping
    In this lecture video, we first did a recall of some factoring formulas. And then, we discussed about the Rational Root Theorem and it states that the possible rational zeros of a polynomial function are of the form p/q and it is a great way to find the zeros of polynomial functions. P and Q are the factors of the constant term and the leading coefficient of the function, respectively.

  • @diazrmy08
    @diazrmy08 3 роки тому

    DIAZ - 10 BOOKKEEPING
    In finding the zeros (roots or solutions) of a polynomial function, the remainder theorem and factor theorem are combined with rational root theorem to allow us factor polynomials without the use of long division. Along with recap of some factoring formulas, we have also learned the Rational Root Theorem, which states that a polynomial's possible rational zeros are of the form p/q, where p and q are constant term factors and leading coefficients, respectively.

  • @odtujanblanchieleanneg.8279
    @odtujanblanchieleanneg.8279 3 роки тому

    Odtujan, Blanchie Leanne G.
    X-Bookkeeping
    In this lesson, we learned about how to find the the Zeroes of Polynomial Function. To help us understand our current lesson, we recalled some factoring formulas like Remainder and Factor Theorem. After that, we discussed about the Rational Root Theorem. Rational root theorem states that the possible rational zeroes of a polynomial function are of the form p/q. P and Q are factors of the constant term and leading coefficient of the function. This theorem will help us find the zeroes of polynomial.

  • @charlizebonifacio9495
    @charlizebonifacio9495 3 роки тому

    Bonifacio, Charlize D.
    10 - Bookkeeping
    = To summarize, we recalled different factoring formulas, guiding us to be able to understand the lesson proper. Additionally, this video lesson tackled how to find or solve for the zeros in a polynomial function through the "Rational Root Theorem" which states that "the possible rational zeroes of a polynomial function are in the form of p/q where p and q are factors of the constant term and leading coefficient of the function."

  • @irakriszelgabac1385
    @irakriszelgabac1385 3 роки тому

    Gabac, Ira Kriszel F.
    10 - Bookkeeping
    In this lesson, we had a recap of the Remainder and Factor Theorems which enable us to determine whether a given binomial is a factor of a polynomial function. These theorems helped us in identifying the rational zeros of polynomial functions as well as in solving polynomial equations. Furthermore, we also learned about the Rational Root Theorem, which asserts that a polynomial function's possible rational zeros are of the form p q, where p and q are factors of the constant term and leading coefficient of the function, respectively.

  • @nicolecandicecarino5927
    @nicolecandicecarino5927 3 роки тому

    Cariño, Nicole Candice P.
    10-Bookkeeping
    In this lecture video, we recalled some lessons we have encountered in the past such as factoring formulas and two theorems, namely: The Remainder Theorem and The Factor Theorem, which assisted us in solving the zeros of polynomial functions, thus making the lesson easy to understand. After the recap, the Rational Root Theorem was discussed. According to this theorem, the possible rational zeros of a polynomial function are of the form p / q, where p and q are factors of the constant term and leading coefficient of the funtion, respectively.

  • @eushekabarracas8483
    @eushekabarracas8483 3 роки тому

    Barracas, Eusheka Rovinne P.
    10-Bookkeeping
    In this video, we reviewed some factoring formulas that were previously discussed. Then we tackled a simple way of finding the zeros of a polynomial function specifically, the Rational Root Theorem which states that the rational zeros of a polynomial are of the form p/q. And the p and q are the constant term's factor and leading coefficients of the function.

  • @benitopantoja7611
    @benitopantoja7611 3 роки тому

    Benito Theo M. Pantoja
    10-Bookkeeping
    In this lesson, we learned how to get the zeros of a polynomial function, where zeros means the roots or solutions of the functions. We recalled some factoring formulas as factoring the functions is essential to finding the zeros. We also learned about the Rational Root Theorem, which states that the possible rational zeros of a polynomial are in the form of p/q, where p and q are factors of the constant term and leading coefficient of the term.

  • @catherinegultiano4659
    @catherinegultiano4659 3 роки тому

    Gultiano, Catherine M.
    10 - Bookkeeping
    In this lesson, we talked about the Rational Root Theorem, which states that the possible rational zeros of a polynomial function are of the form p/q, where p and q are factors of the constant term and leading coefficient of the function. This theorem helped us learn how to find the zeros of polynomial functions. We also had a recall about the factoring formulas, which helped us understand the lesson better.