1,036 prompts matching "Give me a past-paper style question bank for solving quadratics by factorisation"
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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
Worked example: using the factor theorem to factorise a cubic
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Spot my mistake using the remainder theorem
Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I
Explain the difference between remainder and factor theorem
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between the
Worked example: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic
Sum and product of roots of a cubic equation
Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Spot my mistake identifying a tautology
Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau
Worked example: applying predicate logic to solve a problem
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When to use permutations versus combinations
Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh
Spot my mistake in a permutation problem
Act as my SS2 Further Maths tutor. I solved a permutation word problem but I think I used
Spot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Worked example: probability of selecting a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the probabilit
Spot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Worked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
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: evaluating a power using binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp
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
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the