The Fundamental Theorem of Algebra states that every non-constant polynomial equation with complex coefficients has at least one complex root. This means that if you have a polynomial of degree n , it will have exactly n roots when counted with their multiplicities. The Fundamental Theorem of Calculus connects differentiation and integration, two core concepts in calculus. It states that if a function is continuous on a closed interval, then the integral of its derivative over that interval equals the difference in the values of the original function at the endpoints. This theorem provides a powerful tool for evaluating integrals.