Using Synthetic Division to Solve an Equation - Concept

Concept Concept (1)

To solve a polynomial equation using synthetic division, we first use the rational roots theorem to determine the potential zeroes for factoring. After factoring, we can solve synthetic division polynomials by setting each of our factors equal to the other side of the equation and solving.

Sample Sample Problems (1)

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Using Synthetic Division to Solve an Equation - Problem 1

Factor 2x⁴ − 5x³ − 11x² + 20x + 12 = 0 given that 2 or -2 is a root AND 3 or -3 is a root.

Problem 1
How to use synthetic division to solve a polynomial equation given a few potential roots.