What's the formula for finding a cubic polynomial given the sum, sum taken to at a time, and the product of its zeroes ?

Mason Cherry

Mason Cherry

Answered question

2023-01-06

What's the formula for finding a cubic polynomial given the sum, sum taken to at a time, and the product of its zeroes ?

Answer & Explanation

Adelyn French

Adelyn French

Beginner2023-01-07Added 8 answers

Let α , β and γ be the roots of the cubic polynomial.
The rooted cubic polynomial α , β and γ is
x 3 ( α + β + γ ) x 2 + ( α β + b e t a γ + γ α ) x ( α β γ ) = 0

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