1,041 prompts matching "IGCSE Additional Maths Y10: Sketching a cubic once it has been factorised — Show"
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Common Mistakes: Checking a completed square by expanding it again
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Common Mistakes: A sign error in the formula, and how to catch it
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Final Revision: A word problem solved with the quadratic formula
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Quiz: Finding the sum and the product without solving the equation
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Show All Working: Roots equal in magnitude but opposite in sign
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Worked Example: Substituting into the quadratic and tidying up
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Quiz: Solving the quadratic that results from the substitution
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Explain Back: Writing the answers as ordered pairs
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Quiz: The condition for two points of intersection
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Practice: The condition for the line to be a tangent
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Explain Back: The condition for the line never to meet the curve
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Spot My Mistake: A polynomial written in descending powers
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Worked Example: The division algorithm for polynomials
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Final Revision: Writing the result of a polynomial division out in full
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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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Worked Example: Factorising a cubic into a linear and a quadratic factor
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