1,043 prompts matching "Why one component vanishes when the direction is chosen well"
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Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Teach me combinations
Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from
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 solving a linear and a quadratic equation by substitution
You are my SS2 Further Mathematics tutor. Teach me solving a linear and a quadratic equati
Give me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
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: 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
Quiz me on identifying propositions
Act as my SS2 Further Maths tutor. Quiz me by giving me five sentences and asking me to id
Teach me arranging objects round a circle
You are my SS2 Further Mathematics tutor. Teach me arranging objects round a circle, in cl
Teach me Writing out Pascal's triangle row by row
You are my SS2 Further Mathematics tutor. Teach me writing out Pascal's triangle row by ro
Quiz me on Reading a binomial coefficient off Pascal's triangle
Act as my SS2 Further Mathematics tutor and quiz me on reading a binomial coefficient off
Teach me geometric progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Worked example: how many ways can 5 books be arranged on a shelf
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Worked example: how many ways can a president and secretary be chosen from 8 people
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Worked example: how many ways can a committee of 4 be chosen from 10 people
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Worked example: in how many ways can 6 people be seated around a circular table
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Word problem leading to a factorable quadratic
I am in SS 2. Set me an Additional Maths style word problem, such as one about area or con