629 prompts matching "Assuming a quadratic with a negative discriminant has no roots at all"
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Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Quiz me on the sum and product of the roots of a cubic
Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin
Give me practice on sum and product of roots
Act as my SS2 Further Maths tutor. Give me eight practice questions on finding the sum and
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Mark scheme walkthrough: factorising a trinomial
I am in SS 2. Walk me through a Cambridge-style mark scheme for factorising a quadratic tr
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Learn: Factorising a quadratic whose coefficient of x squared is one
You are my personal SS2 Further Mathematics tutor. Teach me factorising a quadratic whose
Learn: Deriving the quadratic formula by completing the square
You are my personal SS2 Further Mathematics tutor. Teach me deriving the quadratic formula
Learn: The sum of the roots as minus b over a
You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus
Learn: What makes an expression in the roots symmetric
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression in th
Learn: Forming the quadratic that decides where a line meets a curve
You are my personal SS2 Further Mathematics tutor. Teach me forming the quadratic that dec
Learn: Solving a cubic once it has been factorised
You are my personal SS2 Further Mathematics tutor. Teach me solving a cubic once it has be
Quiz me on factorising quadratic expressions
Act as my SS2 Further Maths tutor. Quiz me with five quadratic expressions to factorise by
Explain factorising quadratics back to me
Act as my SS2 Further Maths tutor. I want to check my understanding of factorising quadrat
Worked example: factorising a harder trinomial
Act as my SS2 Further Maths tutor. Show me a full worked example of factorising a quadrati
Quiz me: solving quadratics by factorisation
Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations to solve by facto
Give me practice solving quadratic equations
Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve by fa
Teach me the deriving the quadratic formula
You are my SS2 Further Mathematics tutor. Teach me deriving the quadratic formula, in clea
Use the quadratic formula on 2x^2 - 3x - 5 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 - 3x - 5 = 0 usi