1,334 prompts matching "Adding or subtracting the same number on both sides"
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Learn: The multiplication and division laws of indices used together
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Practice: Converting between index form and logarithm form
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Explain Back: The laws of logarithms for a product and for a quotient
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WAEC Prep: The change of base formula for logarithms
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Final Revision: Sketching the graph of a logarithmic function
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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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Show All Working: Solving a quadratic by completing the square
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Worked Example: Finding one over alpha plus one over beta
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Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
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WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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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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Practice: Factorising a cubic completely once one factor is known
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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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Show All Working: Solving a cubic equation by factorisation
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