696 prompts matching "Applying two index laws inside one expression"
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Final Revision: Sketching the graph of a logarithmic function
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Learn: The sum and the product of the roots read from the coefficients
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Worked Example: The discriminant, and what each of its three cases means
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Quiz: Forming a quadratic equation whose roots are given
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Explain Back: The range of values of k for which the roots are real
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Final Revision: Solving a disguised quadratic by substitution
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Learn: Finding alpha squared plus beta squared from the sum and product
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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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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Learn: The degree of a polynomial and its leading coefficient
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Worked Example: Evaluating a polynomial by substitution
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Quiz: The factor theorem, and testing whether x minus a is a factor
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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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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Learn: The sum of the roots of a cubic read from its coefficients
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Quiz: The product of the roots of a cubic
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