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Senior Secondary

Further Mathematics

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1,045 prompts matching "Finding a term given the sum of a series"

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Quiz: Factorising a difference of two squares in order to solve it

Act as my SS2 Further Mathematics tutor and quiz me on factorising a difference of two squ

Common Mistakes: Writing down the roots once the brackets are found

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Learn: Deriving the quadratic formula by completing the square

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Show All Working: Choosing between factorising and the formula

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Common Mistakes: A sign error in the formula, and how to catch it

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Learn: What makes an expression in the roots symmetric

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Show All Working: A simultaneous pair in which the second equation is a circle

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Learn: Forming the quadratic that decides where a line meets a curve

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Practice: Polynomial notation such as P of x

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Common Mistakes: Multiplying one polynomial by another

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Show All Working: Synthetic division as a shorter route

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Spot My Mistake: Finding two coefficients from two remainder conditions

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Show All Working: A remainder of nought, and what it means

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Common Mistakes: The remainder theorem applied to a quartic

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Worked Example: Testing a list of candidates to find a factor

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Explain Back: Finding a coefficient so that a stated expression is a factor

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Show All Working: What the factor theorem says about the roots

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Common Mistakes: Using the factor theorem before dividing

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Quiz: Factorising a polynomial by grouping terms

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