442 prompts matching "Showing distributivity fails by a counter-example"
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Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Quiz me on polynomial division by a quadratic divisor
Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di
Use the remainder theorem on x^3 - 2x^2 + 3x - 4 divided by x - 1
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Use the remainder theorem on 2x^3 + x^2 - 5x + 2 divided by x + 2
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Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Use the remainder theorem on x^3 - 6x^2 + 11x - 6 divided by x - 2
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Quiz me on the finding the remainder when a cubic is divided by a linear factor
Act as my SS2 Further Mathematics tutor and quiz me on finding the remainder when a cubic
Worked example: using the factor theorem to factorise a cubic
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Worked example: truth table for a compound statement
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Worked example: converse and inverse of a statement
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Worked example: proving two statements are logically equivalent
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Worked example: proving a statement is a tautology
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Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Worked example: arranging letters of a word
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Worked example: choosing a committee
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Worked example: cyclic permutation around a table
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Worked example: probability of selecting a committee
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Worked example: expanding (x+y)^4 using Pascal's triangle
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Worked example: finding the middle term of a binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter
Worked example: simplifying an expression with fractional indices
Act as my SS2 Further Maths tutor. Show me a full worked example of simplifying an express