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Based on their degree: second-degree polynomial, such as 4x2, x2 – 9, or ax2 + bx + c, is also called a “quadratic” a third-degree polynomial, such as –6x3 or x3 – 27, is also called a ...

Researchers have found a new way to solve high-degree polynomial equations, previously thought impossible for 200 years. This math breakthrough reopens algebra.

In this assignment, you'll work on a simplified version of Shamir's Secret Sharing algorithm. Consider an unknown polynomial of degree m. You would require m+1 roots of the polynomial to solve for the ...

If p(z) is univariate polynomial with complex coefficients having all its zeros inside the closed unit disk, then the Gauss-Lucas theorem states that all zeros of p′(z) lie in the same disk. We study ...

Uncertainty quantification (UQ) is increasingly critical for modelling complex systems in which input parameters or environmental conditions vary unpredictably. Polynomial chaos methods offer a ...