Page 1: Introduction to Polynomial Division

This page introduces the fundamental concepts of polynomial division and provides detailed worked examples. The content focuses on the systematic approach to dividing polynomials of different degrees.

Definition: Polynomial division follows the formula D = d·c + R, where D is the dividend, d is the divisor, c is the quotient, and R is the remainder.

Example: The division of 3x⁴-11x² + 10x-3 by x²+3 is demonstrated step by step, showing how to handle each term systematically.

Highlight: When dividing polynomials, always start with the terms of highest degree and ensure proper alignment of like terms.

Vocabulary:

• Dividend (D): The polynomial being divided
• Divisor (d): The polynomial dividing into the dividend
• Quotient (c): The result of the division
• Remainder (R): The leftover terms that cannot be divided further