1,318 prompts matching "Rationalising and then cancelling a common factor"
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Explain Back: The laws of logarithms for a product and for a quotient
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Common Mistakes: Solving an exponential equation using logarithms
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Worked Example: The discriminant, and what each of its three cases means
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Practice: Finding alpha minus beta from the sum and the product
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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Common Mistakes: Three roots in geometric progression in a cubic
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Common Mistakes: The range of values of x for which an expression stays positive
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Common Mistakes: Arrangements restricted at the first or the last place
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Worked Example: The difference between a permutation and a combination
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WAEC Prep: Pascal's triangle and the combination numbers in it
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Show All Working: Counting the handshakes, or the lines joining n points
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Common Mistakes: Selections in which at least one of a kind must appear
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Final Revision: Combinations used with the addition and multiplication principles
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