1,315 prompts matching "Rationalising and then simplifying fully"
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Learn: Reading a binary operation defined by a formula such as a*b = a + b - ab
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Worked Example: Testing whether a binary operation is closed on a given set
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Quiz: Testing a binary operation for commutativity
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Explain Back: Finding the identity element of a binary operation
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Worked Example: Collecting like surds in a single sum
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Quiz: Solving an index equation by writing both sides to the same base
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Quiz: Forming a quadratic equation whose roots are given
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Explain Back: The range of values of k for which the roots are real
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Worked Example: Evaluating a polynomial by substitution
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Learn: The sum of the roots of a cubic read from its coefficients
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Quiz: The product of the roots of a cubic
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Explain Back: Forming a cubic equation whose three roots are given
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Quiz: Solving a quadratic inequality using a sign table
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Explain Back: Solving an inequality that involves a modulus
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