1,322 prompts matching "Simplifying the answer once the denominator is rational"
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Explain Back: The range of values of k for which the roots are real
I have just studied the range of values of k for which the roots are real in my SS3 Furthe
Practice: Finding alpha minus beta from the sum and the product
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding alpha
Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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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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Practice: Finding the third root of a cubic when two are known
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Worked Example: The number of arrangements of n different objects in a row
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Practice: Arrangements when some of the objects are identical
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Explain Back: Arrangements in which two particular objects must stay together
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Worked Example: The difference between a permutation and a combination
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Worked Example: The identities for one plus tan squared and one plus cot squared
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Practice: The compound angle formula for cosine of A minus B
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Explain Back: The compound angle formula for tan of A plus B
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Final Revision: Proving an identity by working on one side only
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Practice: Solving an equation of the form sin of 2x equals a given value
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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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Practice: The effect of a in y equals a sin x
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Explain Back: The effect of b in y equals sin bx on the period
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Worked Example: The midpoint formula applied to a given segment
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