1,334 prompts matching "find the coefficient of x^4 in the expansion of (1+3x)^7"
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Common Mistakes: Solving an equation in which the unknown sits under a root
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Spot My Mistake: The power law of logarithms
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WAEC Prep: The change of base formula for logarithms
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Show All Working: Solving a quadratic by completing the square
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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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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Quiz: The product of the roots of a cubic
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Final Revision: Checking that the roots found satisfy the original equation
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Show All Working: Solving a pair of simultaneous linear inequalities
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Common Mistakes: The range of values of x for which an expression stays positive
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Quiz: The number of arrangements of r objects chosen from n
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Practice: Arrangements when some of the objects are identical
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Quiz: Choosing a committee of r people from n
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Explain Back: Choosing a committee with a stated number from each of two groups
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