1,045 prompts matching "The discriminant, and what each of its three cases means"
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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
Teach me long division of polynomials
Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of
Teach me the stating the remainder theorem
You are my SS2 Further Mathematics tutor. Teach me stating the remainder theorem, in clear
Teach me the stating the factor theorem
You are my SS2 Further Mathematics tutor. Teach me stating the factor theorem, in clear st
Worked example: converse and inverse of a statement
Act as my SS2 Further Maths tutor. Show me a full worked example of writing the converse a
Quiz me on arrangements when some of the objects are alike
Act as my SS2 Further Mathematics tutor and quiz me on arrangements when some of the objec
Quiz me on the binomial expansion of a bracket raised to the power four
Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex
Give me practice on the equation of a circle
Act as my SS2 Further Maths tutor. Give me six practice questions on finding or using the
Teach me the basic trigonometric identities
Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including
Worked example: finding the gradient of a curve at a point
Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly
Teach me multiplying two complex numbers in the form a plus bi
You are my SS2 Further Mathematics tutor. Teach me multiplying two complex numbers in the
Teach me dividing complex numbers by rationalising with the conjugate
You are my SS2 Further Mathematics tutor. Teach me dividing complex numbers by rationalisi
Teach me the condition two matrices must meet before they can be multiplied
You are my SS2 Further Mathematics tutor. Teach me the condition two matrices must meet be
Teach me what a vector is
Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,
Worked example: standard deviation of a small data set
Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian
Explain why Further Maths topics connect to each other
Act as my SS2 Further Maths tutor. Explain to me how the topics I've studied so far, like
Worked example: find the distance between the points (1,2) and (4,6)
Act as my SS2 Further Maths tutor. Show me a full worked example for this coordinate geome
Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and