1,333 prompts matching "Discriminant and the nature of roots"
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Final Revision: The power set, and how many subsets a set of n elements has
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
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Learn: The multiplication and division laws of indices used together
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Explain Back: The laws of logarithms for a product and for a quotient
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Explain Back: The range of values of k for which the roots are real
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Learn: The degree of a polynomial and its leading coefficient
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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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Spot My Mistake: The relations between roots and coefficients for a quartic
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Learn: The meaning of n factorial, and how to evaluate it
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Learn: The meaning of n choose r, and how to evaluate it
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Quiz: Solving tan x equals a given value, and the period of the tangent
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Learn: The shape, period and range of the sine curve
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Worked Example: The shape, period and range of the cosine curve
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Final Revision: The graphs of y equals sec x, cosec x and cot x
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Worked Example: The equation of a circle with a given centre and radius
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Show All Working: The intersection of a circle and a straight line
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Learn: The range, and why it is a weak measure of spread
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Spot My Mistake: The standard deviation of an ungrouped set of data
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WAEC Prep: The standard deviation of grouped data using an assumed mean
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