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Polynomials (Manipulation and Zeros)
Polynomials and Notation
Equivalent Polynomials
Lesson
Practice
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Polynomial Division
Remainder and Factor Theorem
Further applications of remainder and factor theorem
Polynomial Division Using Synthetic Division
Polynomials (further work on Definitions)
Polynomial Identities
Physical characteristics of solving an equation
Solving for Zeroes and Coefficients
Sums and Products of Roots (quadratic, cubic and quartic)
Multiplicity of a Root
Factorising from roots (includes complex roots)
Intermediate Value Theorem
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India
Class IX

Equivalent Polynomials

Outcomes

9.A.P.1

Definition of a polynomial in one variable, its coefficients, with examples and counterexamples, its terms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros/roots of a polynomial/equation.

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