756 prompts matching "Solving a cubic that must first be rearranged"
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Learn: Simplifying a surd by extracting the largest perfect square
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Worked Example: Collecting like surds in a single sum
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Quiz: Multiplying two surds and simplifying the result
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Practice: Rationalising a denominator of the form root a
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Learn: The multiplication and division laws of indices used together
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Spot My Mistake: The power law of logarithms
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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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Practice: The condition for a quadratic equation to have equal roots
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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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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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Common Mistakes: The range of values of x for which an expression stays positive
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