1,045 prompts matching "IGCSE Additional Maths Y10: An exact answer left in surd form — Worked Example"
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Final Revision: One root twice the other, and what that gives
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Learn: What makes an expression in the roots symmetric
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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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Final Revision: Using a symmetric function to find an unknown coefficient
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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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Worked Example: The discriminant used as the test for intersection
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Practice: The condition for the line to be a tangent
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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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Learn: What makes an expression a polynomial
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Common Mistakes: Multiplying one polynomial by another
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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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Common Mistakes: Factorising fully, and knowing when to stop
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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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Practice: A cubic with one real root and two complex ones
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