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Approximating Real Roots of Polynomials with Graphing Calculators

Learn to find the real roots of polynomials using graphing calculators. Explore examples like x³ - 3x + 1 = 0 and x⁴ - 2x³ - 7x² + 10x + 10 = 0 with step-by-step solutions. Practice problems included.

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Approximating Real Roots of Polynomials with Graphing Calculators

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  1. Precalculus Section 2.5Approximate real roots of polynomials using graphing calculators Note: The solution to x2 + 2x – 8 = 0 is found by (x+4)(x-2) =0, x = -4 and x = 2. The roots are the x intercepts of y = x2 + 2x – 8. To find the real roots of a polynomial, graph the polynomial function and find its x intercepts.

  2. Solve x3 – 3x + 1 = 0

  3. Solve x3 – x2 – 5x+2 = 0

  4. Solve x4 – 2x3 – 7x2 + 10x + 10 = 0

  5. assignment • Page 78 • Problems 1 – 8, 16

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