1,016 prompts matching "An element with no inverse under a given operation"
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Discriminant and the nature of roots
Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q
Build a quadratic equation from given roots
Act as my SS2 Further Maths tutor. Teach me how to construct a quadratic equation when I a
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
Give me practice on tangent lines to curves
Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio
Find the value of k for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's
Teach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one 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
Quiz me on polynomial division by a quadratic divisor
Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di
Give me practice on polynomial long division
Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials
Quiz me on finding specific terms in expansions
Act as my SS2 Further Maths tutor. Quiz me with three binomial expansions and ask me to fi
Spot my mistake solving a trigonometric equation
Act as my SS2 Further Maths tutor. I solved a trigonometric equation but I think I forgot
Give me practice on differentiation and stationary points
Act as my SS2 Further Maths tutor. Give me six practice questions on differentiating polyn
Spot my mistake differentiating a polynomial
Act as my SS2 Further Maths tutor. I differentiated a polynomial function but I think I ma
Teach me adding and subtracting complex numbers
Act as my SS2 Further Maths tutor. Teach me how to add and subtract complex numbers by com
Teach me finding the determinant of a 2x2 matrix
Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an
Spot my mistake finding a matrix inverse
Act as my SS2 Further Maths tutor. I found the inverse of a 2x2 matrix but I think I made
Show that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta