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Polynomials
Polynomials and Notation
Equivalent Polynomials
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Polynomial Division
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Remainder and Factor Theorem
Further Applications of Remainder and Factor Theorem
EXT: Polynomial Division Using Synthetic Division
EXT: Polynomials (further work on definitions)
Solve Polynomial Inequalities
EXT: Polynomial Identities
Solving for Zeros and Coefficients
Sums and Products of Roots (quadratic, cubic and quartic)
Multiplicity of a Root
Factoring from roots (includes complex roots)
Writing a Function from its Zeros
Roller Coaster Polynomials (Investigation)
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CanadaON
Grade 12

Polynomial Division

Outcomes

12F.C.3.1

Make connections, through investigation using technology between the polynomial function f(x), the divisor x – a, the remainder from the division f(x)/(x-a), and f(a) to verify the remainder theorem and the factor theorem

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