Chapter Overview
This chapter introduces students to polynomials and their types. It explains how to find the degree, zeroes, and coefficients of a polynomial and explores the relationship between zeroes and coefficients for quadratic polynomials. The chapter also includes the division algorithm for polynomials.
Important Keywords
- Polynomial: An algebraic expression consisting of variables and coefficients involving only non-negative integer powers of the variables.
- Degree of a Polynomial: The highest power of the variable in the polynomial.
- Zero of a Polynomial: A value of the variable for which the polynomial becomes zero.
- Quadratic Polynomial: A polynomial of degree 2 (e.g., ax² + bx + c).
- Cubic Polynomial: A polynomial of degree 3.
- Linear Polynomial: A polynomial of degree 1.
- Division Algorithm: If p(x) and g(x) are polynomials with g(x) ≠ 0, then there exist polynomials q(x) and r(x) such that p(x) = g(x) × q(x) + r(x).
Detailed Notes
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