1,045 prompts matching "IGCSE Additional Maths Y10: No real roots, and what the discriminant shows — Pra"
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Common Mistakes: A sign error in the formula, and how to catch it
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Worked Example: The product of the roots as c over a
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Quiz: Finding the sum and the product without solving the equation
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Practice: Forming an equation from a given sum and product
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Final Revision: A word problem about a line and a parabola
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Worked Example: The degree of a polynomial in one variable
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Quiz: The leading term and the constant term
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Worked Example: The division algorithm for polynomials
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Common Mistakes: The degree of the quotient and of the remainder
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Worked Example: Testing a list of candidates to find a factor
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Final Revision: Checking a factorisation by expanding it again
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Worked Example: How many roots a cubic equation has
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Worked Example: Sentences that are not propositions
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Quiz: Disjunction and the inclusive or
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