Polynomial Division Activity 3

Polynomial Division Overview

• Synthetic division is a streamlined method for dividing polynomials, suitable for linear divisors.
• Identify the dividend (numerator) and divisor (denominator) in the division process.

Examples of Synthetic Division Problems

• C) (4x² + x - 3) ÷ (x - 3)

  • Determine quotient Q(x) and remainder r(x) through synthetic division.

• E) (x² + x³ - 3x² - 4x - 4) ÷ (x + 3)

  • Rearranging terms may help in better organizing the division process.

• H) (3x² + 4x - x² - 2x³ - 4) ÷ (x + 2)

  • Combine like terms and then apply synthetic division.

• O) (2x⁵ - 2x³ + 4x² - 3) ÷ (x + 1)

  • Focus on the highest degree terms for initial setup in synthetic division.

• P) (-x⁴ + 2x⁵ - 2x - 3x² + 1) ÷ (x - 2)

  • Arranging terms in descending order can simplify the division process.

• T) (-25 - 4x⁴ - 3x² + 4x) ÷ (x - 4)

  • Watch for signs to ensure accurate calculation when using synthetic division.

• R) (2x³ + 5x² - 4x - 5) ÷ (2x + 1)

  • Pay attention to coefficients and adjust accordingly in synthetic division.

Additional Note

• The other term for the number sign (#) is "hash" or "pound."