1,334 prompts matching "Expressing a rationalised answer in the form a root b over c"
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Explain Back: The laws of logarithms for a product and for a quotient
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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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Learn: Finding alpha squared plus beta squared from the sum and product
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Practice: Finding alpha minus beta from the sum and the product
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Learn: The degree of a polynomial and its leading coefficient
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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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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Practice: Solving an inequality with the unknown in the denominator
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Final Revision: The region of the plane satisfying a set of linear inequalities
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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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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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Worked Example: The difference between a permutation and a combination
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Final Revision: Combinations used with the addition and multiplication principles
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
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Common Mistakes: Giving the general solution of a trigonometric equation
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