1,324 prompts matching "Closure on a set of three elements under a stated rule"
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Explain Back: The range of values of k for which the roots are real
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
I have just studied finding an unknown coefficient given that a stated factor divides the
Show All Working: Solving a cubic equation by factorisation
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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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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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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Worked Example: The number of arrangements of n different objects in a row
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Show All Working: Arrangements of the letters of a given word
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Common Mistakes: Arrangements restricted at the first or the last place
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Final Revision: Combinations used with the addition and multiplication principles
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Explain Back: The compound angle formula for tan of A plus B
I have just studied the compound angle formula for tan of A plus B in my SS3 Further Mathe
Show All Working: The half angle formulae and the t-substitution
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Final Revision: Proving an identity by working on one side only
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Final Revision: Losing solutions by dividing through by cos x
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Worked Example: The shape, period and range of the cosine curve
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WAEC Prep: A phase shift in y equals sin of x minus d
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