1,316 prompts matching "The alternative sum formula that uses the last term"
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
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WAEC Prep: Comparing the sizes of two surds without a calculator
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Learn: The multiplication and division laws of indices used together
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Quiz: Solving an index equation by writing both sides to the same base
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Explain Back: The laws of logarithms for a product and for a quotient
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Spot My Mistake: The power law of logarithms
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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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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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WAEC Prep: Forming an equation whose roots are each two more than the original
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Learn: The degree of a polynomial and its leading coefficient
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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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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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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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Worked Example: Solving a quadratic inequality by sketching the parabola
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Practice: Solving an inequality with the unknown in the denominator
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