Polynomial equations Revision Notes, Past Papers & Questions for SSCE HSC Mathematics Extension 2

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SSCE HSC Mathematics Extension 2 Polynomial equations Past Papers & Study
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According to the Fundamental Theorem of Algebra, how many roots does a non-zero polynomial of degree 4 with complex coefficients have?

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SSCE HSC Mathematics Extension 2 Polynomial equations Revision Notes

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SSCE HSC Mathematics Extension 2 Polynomial equations Revision Notes
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Other SSCE HSC Mathematics Extension 2 topics to explore

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3D space

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3D vectors

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Angle between vectors

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Applications of mathematical induction

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Applying Euler’s formula

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Complex numbers

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Curves and regions on the complex plane

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De Moivre’s theorem

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Euler’s formula

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Forces and equations of motion

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Further mathematical induction

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Geometry proofs using vectors

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Integration by parts

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Integration by substitution

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Modulus and argument

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Operations on the complex plane

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Parallel and perpendicular lines

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Partial fractions

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Projectile motion

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Proof by contradiction

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Proof by counterexample

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Proofs involving inequalities

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Proofs involving inequalities and graphs

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Proofs involving numbers

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Properties of moduli and arguments

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Quadratic equations with complex coefficients

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Rational functions with quadratic denominators

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Recurrence relations

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Recursive formula proofs

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Resisted horizontal motion

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Resisted projectile motion

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Resisted vertical motion

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Review of 2D vectors

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Review of mathematical induction

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Roots of complex numbers

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Roots of unity

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Series and sigma notation

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Simple harmonic motion

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Square root of a complex number

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The Argand diagram

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The language of proof

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Vector equation of a curve

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Vector equation of a straight line

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Velocity and acceleration in terms of x

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