Precalculus » B. Quadratic, Polynomial, and Exponential Functions » B.4. Zeros and Polynomial Functions

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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