Roots of a polynomial equation. Finding the real and complex zeros of a polynomial

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We will see how to find the real zeros and the complex zeros of the polynomial P(x)=(x^2+4)(5x+1)^3. We will also discuss the idea of the multiplicities of the zeros.

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"Just Algebra" (by blackpenredpen) is dedicated to helping middle school, high school, and community college students who need to learn algebra. Topics include how to solve various equations (linear equations, quadratic equations, square root equations, rational equations, exponential equations, logarithmic equations, and more), factoring techniques, word problems, functions, graphs, Pythagorean Theorem, and more. We will also cover standardized test problems such as the SAT. Feel free to leave your questions in the comment!
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Real zeros: x = -1/5
Complex zeros: x = ±2i

OptimusPhillip

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