1,045 prompts matching "The range of values of k for which the roots are real"
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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Non-calculator paper: factorise and simplify a fraction
Set me a non-calculator Additional Maths style question where I must factorise both the nu
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Prove command word: line does not intersect a curve
I am in SS 2. Give me a 'prove that' style question where I must show a given line never m
Common command word mistakes SS2 students make
Tell me the most common mistakes SS2 Further Maths students make when responding to comman
Worked Example: Factorising a quadratic whose leading coefficient is not one
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor
Final Revision: A word problem solved by factorising a quadratic
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Final Revision: Using a symmetric function to find an unknown coefficient
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of u
Common Mistakes: A word problem giving one linear and one quadratic equation
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w
Final Revision: Checking both solutions in both equations
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Final Revision: A word problem about a line and a parabola
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Spot My Mistake: A polynomial written in descending powers
Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen
Quiz: Dividing a quartic by a quadratic
Act as my SS2 Further Mathematics tutor and quiz me on dividing a quartic by a quadratic.
Spot My Mistake: A division that leaves a linear remainder
Act as my SS2 Further Mathematics tutor. Work a question on a division that leaves a linea
Spot My Mistake: Finding two coefficients from two remainder conditions
Act as my SS2 Further Mathematics tutor. Work a question on finding two coefficients from
Worked Example: Factorising a cubic into a linear and a quadratic factor
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor
Quiz: Factorising a polynomial by grouping terms
Act as my SS2 Further Mathematics tutor and quiz me on factorising a polynomial by groupin
Common Mistakes: Factorising fully, and knowing when to stop
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on fac