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Write the equation of the polynomial given the zeros

1,532 views · Published 16 August 2013 · 6:05 · Indexed 20 September 2026

Channel: Brian McLogan · 2013 · Education

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👉 Learn how to write the equation of a polynomial when given complex zeros. Recall that 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. Also recall that when a complex number is a zero to a polynomial, the conjugate of the complex number will also be a zero to the polynomial.

To write the equation of a polynomial, we write the given zeros in factor form and expand the product of the factors. Thus, given a, b, . . . as zeros to a polynomial, we write the equation of the polynomial by expanding the factors (x - a)(x - b) . . . = 0

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Organized Videos:
✅Write the Equation of a Polynomial Given the Zeros
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrSRmWEXRueOLAiSKdUWWd4
✅Write the Equation of a Polynomial Given Complex Zeros
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqLJocoy9fb3ABHDpqSk58c
✅Write the Equation of a Polynomial Given Zeros with Fractions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpqgD6vqk1xAkTwRsEwixDT
✅Write the Equation of a Polynomial Given Real Zeros
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoBBfHV3DrVqw_SzLnGLwOH
✅Write the Equation of a Polynomial Given Irrational Zeros
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMreXrthKCNJsixvni63uby3
✅Write the Equation of a Polynomial Given Imaginary Zeros
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrkm582S7KocGt2DKHGxD2q
✅Write the Equation of a Polynomial Given Zeros | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpbuLl5yoRKIE5bQSMshrYo


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