1,042 prompts matching "IGCSE Additional Maths Y10: How many points of intersection there are — Worked E"
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Quiz: Completing the square on x squared plus 6x
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Explain Back: An answer left in surd form after completing the square
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Spot My Mistake: Completing the square when the roots are not real
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Spot My Mistake: What the formula gives when the discriminant is nought
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Quiz: Finding the sum and the product without solving the equation
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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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Worked Example: The discriminant used as the test for intersection
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Explain Back: The condition for the line never to meet the curve
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Quiz: The leading term and the constant term
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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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Quiz: Dividing a quartic by a quadratic
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Explain Back: A division that leaves a constant remainder
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Spot My Mistake: A division that leaves a linear remainder
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Worked Example: The remainder on dividing by x minus 3
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