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Solving for a zero given a complex zero

We’re given the polynomial 𝑓(𝑥) = 𝑥^3 − 5𝑥^2 + 11x - 7 In this video, we: Verify that 𝑥 = 2 − 𝑖sqrt(3) is a zero Use complex conjugates to find the remaining root Factor the polynomial step by step Solve for all zeros of the function This problem is a great example of how complex numbers, conjugate pairs, and polynomial factoring work together. 📘 Topics covered: Complex zeros of polynomials Conjugate Root Theorem Factoring cubic polynomials Solving polynomial equations Perfect for Algebra 2, Precalculus, and college algebra students. #cubicpolynomials #complexroots #algebra2 #areamodel #factoring #polynomialsandfactorization #precalculus #maths #mathexplained