1,334 prompts matching "Writing the result of a polynomial division out in full"
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Structured question: sum of a series expressed using sigma notation
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Quiz me on choosing the correct method for a quadratic
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Quiz: The zero matrix, and how it differs from nought in arithmetic
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Learn: Deciding whether a stated matrix calculation is possible at all
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Spot My Mistake: Forming the determinant Dx by replacing the first column
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Worked Example: Forming the determinant Dy by replacing the second column
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Quiz: Arranging the equations in standard form before applying Cramer's rule
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Worked Example: The identity that A times its adjoint gives the determinant times the identity
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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix
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Quiz: Checking an inverse by multiplying to get the identity
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Spot My Mistake: Why the inverse must be applied on the correct side
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Quiz: Solving three simultaneous equations with the inverse matrix
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Practice: Comparing the inverse method with elimination for three equations
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Quiz: Recovering the original force from its two components
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Worked Example: Marking the weight, the normal reaction and the friction on a diagram
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Practice: Why the forces must sum to nought in two perpendicular directions
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Practice: Limiting friction, and the greatest value it can reach
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Learn: Finding two unknown forces by Lami's theorem
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Spot My Mistake: Why the probabilities in a distribution must sum to one
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Spot My Mistake: Reading a probability from the standard normal table
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