1,036 prompts matching "Structured question: solve an exponential equation using indices"
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Spot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
Teach me what a polynomial is
Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term
Teach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Quiz me on subtracting a polynomial written in a bracket
Act as my SS2 Further Mathematics tutor and quiz me on subtracting a polynomial written in
Worked example: dividing a cubic by a linear polynomial
Act as my SS2 Further Maths tutor. Show me a complete worked example of dividing a cubic p
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
Give me practice on polynomial long division
Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials
Spot my mistake in polynomial long division
Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long
Teach me the stating the remainder theorem
You are my SS2 Further Mathematics tutor. Teach me stating the remainder theorem, in clear
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
Give me practice on the remainder theorem
Act as my SS2 Further Maths tutor. Give me eight practice questions on applying the remain
Teach me the stating the factor theorem
You are my SS2 Further Mathematics tutor. Teach me stating the factor theorem, in clear st
Quiz me on the factorising a cubic with the factor theorem
Act as my SS2 Further Mathematics tutor and quiz me on factorising a cubic with the factor
Give me practice factorising polynomials with the factor theorem
Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t
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
Teach me the truth table of p implies q
You are my SS2 Further Mathematics tutor. Teach me the truth table of p implies q, in clea
Quiz me on the why p implies q is true when p is false
Act as my SS2 Further Mathematics tutor and quiz me on why p implies q is true when p is f
Quiz me on the testing two statements for logical equivalence
Act as my SS2 Further Mathematics tutor and quiz me on testing two statements for logical
Teach me biconditional propositions
Act as my SS2 Further Maths tutor. Teach me what a biconditional proposition is, using the
Worked example: proving two statements are logically equivalent
Act as my SS2 Further Maths tutor. Show me a full worked example of proving that two compo