1,312 prompts matching "Learn: Deriving the quadratic formula by completing the square"
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Final Revision: Deciding whether a set under an operation forms a group
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Quiz: Multiplying two surds and simplifying the result
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Practice: Rationalising a denominator of the form root a
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
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WAEC Prep: Comparing the sizes of two surds without a calculator
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Explain Back: The laws of logarithms for a product and for a quotient
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Spot My Mistake: The power law of logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Worked Example: The discriminant, and what each of its three cases means
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Explain Back: The range of values of k for which the roots are real
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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WAEC Prep: Forming an equation whose roots are each two more than the original
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Practice: Finding alpha minus beta from the sum and the product
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Quiz: The factor theorem, and testing whether x minus a is a factor
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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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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