How to Determine All of the Zeros of a Polynomial

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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. • 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianm... • ❤️Support my channel by becoming a member: / @brianmclogan • 🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7 • 🎉Follow the Community: / mrbrianmclogan • Organized Videos: • ✅Zeros of a Polynomial by Factoring • • Zeros of a Polynomial by Factoring • ✅Zeros and Multiplicity of Polynomials | Learn About • • Zeros and Multiplicity of Polynomials... • ✅How to Find all of the Zeros by Sum and Difference of Two Cubes • • How to Find all of the Zeros by Sum a... • ✅How to Find all of the Zeros by Grouping • • How to Find all of the Zeros by Grouping • ✅How to Find all of the Zeros in Factored Form • • How to Find all of the Zeros in Facto... • ✅How to Find all of the Zeros by Factoring 5th Degree • • How to Find all of the Zeros by Facto... • ✅How to Find all of the Zeros by Difference of Two Squares • • How to Find all of the Zeros by Diffe... • ✅How to Find all of the Zeros by Factoring 4th Degree • • How to Find all of the Zeros by Facto... • ✅How to Find all of the Zeros of a 3rd Degree Polynomial • • How to Find all of the Zeros of a 3rd... • ✅How to Find all of the Zeros Without Factoring • • How to Find all of the Zeros Without ... • • 🗂️ Organized playlists by classes here: / mrbrianmclogan • 🌐 My Website - http://www.freemathvideos.com • 🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-ca... • Connect with me: • ⚡️Facebook - / freemathvideos • ⚡️Instagram - / brianmclogan • ⚡️Twitter - / mrbrianmclogan • ⚡️Linkedin - / brian-mclogan-16b43623 • 👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclog... • 👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/ • #polynomials #brianmclogan

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