How to write the polynomial given complex roots

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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

Organized Videos:
✅Write the Equation of a Polynomial Given the Zeros
✅Write the Equation of a Polynomial Given Complex Zeros
✅Write the Equation of a Polynomial Given Zeros with Fractions
✅Write the Equation of a Polynomial Given Real Zeros
✅Write the Equation of a Polynomial Given Irrational Zeros
✅Write the Equation of a Polynomial Given Imaginary Zeros
✅Write the Equation of a Polynomial Given Zeros | Learn About

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Super helpful video! I'm taking an online algebra course and got stuck on my homework and couldn't find any helpful websites. I found this video though, and I love how clearly you explain everything; it was very easy to follow along and apply it to my homework. Thank you!

emdi-mvmf
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You've really helped me out with this.
Brilliant content.
Thank you so much!

jonathanbayley
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Had a quiz today and this randomly popped up and i just looked at it bamboozled

Bambambami
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Did anyone catch that jab at Rushi? @3:25

nicholaswilson