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Precalculus
»
B.
Quadratic, Polynomial, and Exponential Functions
»
B.4.
Zeros and Polynomial Functions
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Unit Challenge
Rational and Real Zeros
Overview
Find all zeros of the function given an equation
Use the rational zero test to list the possible rational zeros of the function
Find all rational zeros of the function
Find all real solutions of the polynomial equation
Imaginary Solutions and Conjugate Pairs
Overview
Find a polynomial function with real coefficients that has the given zeros
Use the given zero to find all zeros of the function
Find all zeros of the function and write the polynomial as a product of linear factors
Use Descartes’s Rule of Signs to determine the possible numbers of positive and negative zeros of the function
Imaginary Solutions and Conjugate Pairs — Use Descartes’s Rule of Signs to determine the possible numbers of positive and negative zeros of the function
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