1,045 prompts matching "The arguments of the n roots, spaced equally round the circle"
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Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Worked example: plotting a complex number on an Argand diagram
Act as my SS2 Further Maths tutor. Show me a full worked example of plotting a complex num
Give me practice on complex numbers
Act as my SS2 Further Maths tutor. Give me eight practice questions on complex numbers, in
Spot my mistake finding a vector's magnitude
Act as my SS2 Further Maths tutor. I calculated the magnitude of a vector but I think I ma
Spot my mistake calculating standard deviation
Act as my SS2 Further Maths tutor. I calculated the standard deviation of a data set but I
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Teach me quadratic trinomial factorisation
Act as my SS2 Further Maths tutor. Teach me the general method for factorising quadratic t
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
Teach me solving quadratic equations by factorisation
Act as my SS2 Further Maths tutor. Teach me the full method for solving a quadratic equati
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
WAEC exam question on quadratic equations
Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics style question that r
Worked example: word problem leading to a quadratic
Act as my SS2 Further Maths tutor. Show me a full worked example of a word problem that le
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
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
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: adding two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno