1,329 prompts matching "Learn: Making the coefficient of x squared equal to one first"
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Worked Example: Collecting like surds in a single sum
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Spot My Mistake: Squaring a bracket that contains a surd
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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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Common Mistakes: Solving an exponential equation using logarithms
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Quiz: Forming a quadratic equation whose roots are given
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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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Quiz: Finding alpha cubed plus beta cubed
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Worked Example: Evaluating a polynomial by substitution
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Explain Back: Forming a cubic equation whose three roots are given
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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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Spot My Mistake: Arrangements in which two particular objects must be kept apart
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Practice: Choosing a committee that must contain one particular person
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Explain Back: Solving a quadratic in sin x
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Spot My Mistake: Solving an equation by first applying a Pythagorean identity
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Common Mistakes: Identifying a conic from a general second-degree equation
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Practice: A uniform beam resting on two supports
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