1,045 prompts matching "The inverse of a 2 by 2 matrix as one over the determinant times the adjoint"
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Spot My Mistake: What the formula gives when the discriminant is nought
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Common Mistakes: A sign error in the formula, and how to catch it
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Quiz: Finding the sum and the product without solving the equation
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one
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Worked Example: Substituting into the quadratic and tidying up
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Quiz: Solving the quadratic that results from the substitution
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Explain Back: The condition for the line never to meet the curve
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Quiz: The leading term and the constant term
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Worked Example: The division algorithm for polynomials
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Explain Back: Finding a coefficient when the remainder is given
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Common Mistakes: The remainder theorem applied to a quartic
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Quiz: Which values are worth testing as factors
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Practice: Showing that x plus 3 is a factor of a given polynomial
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Spot My Mistake: The factor theorem applied to a quartic
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Common Mistakes: Using the factor theorem before dividing
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Worked Example: How many roots a cubic equation has
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Practice: A cubic with one real root and two complex ones
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