1,334 prompts matching "Test me under exam conditions on polynomials and the remainder/factor theorems"
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Learn: The multiplication and division laws of indices used together
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Quiz: Solving an index equation by writing both sides to the same base
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Practice: Converting between index form and logarithm form
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Worked Example: Finding one over alpha plus one over beta
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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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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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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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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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Common Mistakes: Arrangements restricted at the first or the last place
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Learn: The meaning of n choose r, and how to evaluate it
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Common Mistakes: Giving the general solution of a trigonometric equation
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Common Mistakes: Sketching two trigonometric curves on the same axes to find where they meet
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Worked Example: The midpoint formula applied to a given segment
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Quiz: Finding the centre and the radius from the general equation
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Practice: The equation of a circle on a given diameter
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