Pure Mathematics with FP1 and FP2

1. If, when you factorise a quadratic equation, the remainder is 0 then this is the Factor Theorem.
   1. Use the factor theorem to factorise the polynomial 2x³ - 7x² - 28x - 12

      Attachments:

      • Factor Theorem answer
2. The Remainder Theorem is when the remainder from factorising is not 0
   1. When x³ + ax² - x - 2 is divided by x - 4, the remainder of 74. Find the value of a

      Attachments:

      • Remainder Theorem answer

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• Matrices

1. Row Reduction

   Attachments:

   • Row Reduction

1. Quadratic Equations

   Attachments:

   • Roots of Equations - Quadratic
2. Cubic Equations

   Attachments:

   • Roots of Equations - Cubic

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• Complex Numbers

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• Number Systems

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• Differentiation

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• Isometry in the Plane

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• Mathematical Induction

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• Triangular Numbers
• Triangular Numbers

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• Further Partial Fractions

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• Complex Numbers

Annotations:

• A+B=x        A-B=y To write a product as a sum/difference; - Write in descending order - A=sum     B=difference If cos2x+cos3x+cos4x, use factor formulae on 2 extreme angles and then factorise result with the middle

Attachments:

• Factor Formulae

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• The t Formulae

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• Further Integration

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• General Solutions

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• Functions

1. Conic Sections
   1. Properties of Conic Sections