1,043 prompts matching "Forming the determinant Dx by replacing the first column"
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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
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Hence solve command word: quadratic equations
I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where
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
Deduce command word: minimum value from completed square
I am in SS 2. Explain the command word 'deduce' with an example where completing the squar
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
Structured question: new equation with roots 1/alpha and 1/beta
I am in SS 2. Set me a multi-part question where I first find the sum and product of the r
Find k command word: line tangent to a curve
I am in SS 2. Set me an Additional Maths exam question phrased 'find the value of k for wh
Show All Working: A quadratic whose two roots are both negative
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a quadratic who
Show All Working: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in
Practice: Polynomial notation such as P of x
Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not
Show All Working: Adding and subtracting two polynomials
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on adding and subt
Practice: A division that leaves no remainder
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Show All Working: A remainder of nought, and what it means
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Practice: Showing that x plus 3 is a factor of a given polynomial
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Show All Working: Factorising a polynomial with fractional roots
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on factorising a p
Practice: A cubic with one real root and two complex ones
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o
Show All Working: Translating an English sentence into logical symbols
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Practice: Negation combined with a compound statement
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Show All Working: Why a conditional and its converse are not equivalent
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on why a condition