1,044 prompts matching "Forming a new equation whose roots are the reciprocals of the original"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
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
Show that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Teach me composite functions
Teach me what a composite function fg(x) means and how to find it, using function notation
Learn: What makes an expression a polynomial
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol
Learn: Factorising a cubic into three linear factors
You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three
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
Learn: What makes a sentence a proposition
You are my personal SS2 Further Mathematics tutor. Teach me what makes a sentence a propos
Learn: How many rows a truth table needs
You are my personal SS2 Further Mathematics tutor. Teach me how many rows a truth table ne
Learn: What a tautology is
You are my personal SS2 Further Mathematics tutor. Teach me what a tautology is from the b
Learn: What makes an argument valid
You are my personal SS2 Further Mathematics tutor. Teach me what makes an argument valid f
Learn: Arranging five different books on a shelf
You are my personal SS2 Further Mathematics tutor. Teach me arranging five different books
Learn: What makes a permutation cyclic
You are my personal SS2 Further Mathematics tutor. Teach me what makes a permutation cycli
Learn: Selecting a team of five from a squad
You are my personal SS2 Further Mathematics tutor. Teach me selecting a team of five from
Learn: Probability as favourable outcomes over total outcomes
You are my personal SS2 Further Mathematics tutor. Teach me probability as favourable outc
Learn: Building Pascal's triangle row by row
You are my personal SS2 Further Mathematics tutor. Teach me building Pascal's triangle row
Factorise x^2 + 5x + 6
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise x^2 - 7x + 12
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2
Factorise x^2 + 2x - 15
Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2