593 prompts matching "Learn: Simplifying root 72 into its simplest form"
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Final Revision: Proving that root 2 is irrational
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Practice: Converting between index form and logarithm form
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Worked Example: The discriminant, and what each of its three cases means
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Practice: The condition for a quadratic equation to have equal roots
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Explain Back: The range of values of k for which the roots are real
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Show All Working: Finding a coefficient given a stated relation between the roots
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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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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Practice: Finding the third root of a cubic when two are known
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Spot My Mistake: The relations between roots and coefficients for a quartic
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Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Final Revision: Checking that the roots found satisfy the original equation
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Quiz: The compound angle formula for sine of A plus B
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