1,003 prompts matching "Non-calculator paper: exact value question on sum and product of roots"
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Why does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Derive the quadratic formula
Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form
Give me practice with the quadratic formula
Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve using
Explain the quadratic formula back to me
Act as my SS2 Further Maths tutor. Let me explain the quadratic formula and how to apply i
Discriminant and the nature of roots
Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q
Worked example: is this line tangent to this curve
Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's
Teach me what a polynomial is
Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Spot my mistake adding polynomials
Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch
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
Worked example: using the factor theorem to factorise a cubic
Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor
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
Teach me compound statement symbols
Act as my SS2 Further Maths tutor. Teach me the standard symbols used for compound stateme
Spot my mistake identifying a compound statement symbol
Act as my SS2 Further Maths tutor. I identified the symbol used in a compound statement bu
Worked example: truth table for a compound statement
Act as my SS2 Further Maths tutor. Show me a full worked example of constructing the truth
Explain truth tables back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to build a truth table
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
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi