1,334 prompts matching "Give me practice on the binomial theorem"
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Learn: The multiplication and division laws of indices used together
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Worked Example: The discriminant, and what each of its three cases means
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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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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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Spot My Mistake: Showing the solution of an inequality on a number line
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Common Mistakes: The range of values of x for which an expression stays positive
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Learn: The meaning of n factorial, and how to evaluate it
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Worked Example: The number of arrangements of n different objects in a row
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Quiz: The number of arrangements of r objects chosen from n
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Explain Back: Arrangements in which two particular objects must stay together
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Learn: The meaning of n choose r, and how to evaluate it
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