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  • Factoring Polynomials on the TI‑84 Plus Using the Equation Solver

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    The TI‑84 Plus is a versatile graphing calculator that can simplify complex algebraic tasks. One common operation is factorizing a polynomial. Even if your model lacks a dedicated factoring program, the built‑in Equation Solver can quickly break a polynomial into its linear factors.

    1. Open the Equation Solver

    Press the MATH button, use the up arrow to highlight the bottom entry, and press ENTER to launch Solver Mode. Depending on your calculator’s firmware, the interface may vary slightly, but the workflow remains the same.

    2. Input the polynomial set to zero

    Enter the polynomial and place the equals sign before the zero value. For example, to factor x2 - 5x + 6, type x^2-5x+6=0. After typing, press ENTER. The solver will compute the roots.

    3. Interpret the solver output

    The screen will display the solutions. If the roots are r₁ and r₂, the polynomial factors as (x-r₁)(x-r₂). For repeated roots, the factor appears with its multiplicity. The solver’s results can be copied to the list for reference or plotted to confirm the factorization.

    By using the Equation Solver, you can factor any quadratic or higher‑degree polynomial with minimal effort, ensuring accurate and reliable results on your TI‑84 Plus.

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