Fact of the Day: 19/10/2021

What is the fundamental theorem of algebra?

It’s very simple, and it has to do with polynomials. According to the theorem, a polynomial of degree n (where the degree is the exponent of the leading term) has exactly n number of roots. The roots may be real and/or complex. For the polynomial x3 + 7x + 3, for example, there are exactly three roots—three solutions to the equation x3 + 7x + 3 = 0. If you graphed it, you’d only see it intersect the x-axis once, though. That’s because there’s only one real root, and there are two complex roots.

Further Exploration: 

The fundamental theorem of algebra applies to all polynomials. If you’d like to learn more about it, check out this link: https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:complex/x9e81a4f98389efdf:fta/v/fundamental-theorem-of-algebra-intro

Fact Author: Ace 

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