1,038 prompts matching "Structured question: find f^-1(x) and verify it"
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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
Practice: Working through a quadratic by completing the square, step by step
Act as my SS2 Further Mathematics tutor. Give me five practice questions on working throug
Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Practice: Giving the roots correct to two decimal places
Act as my SS2 Further Mathematics tutor. Give me five practice questions on giving the roo
Explain Back: Leaving the roots of a quadratic in surd form
I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem
Practice: The value of alpha to the fourth plus beta to the fourth
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a
Explain Back: The value of alpha minus beta, all squared
I have just studied the value of alpha minus beta, all squared in my SS2 Further Mathemati
Show All Working: A simultaneous pair in which the second equation is a circle
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous
Show All Working: The point of contact when a line touches a curve
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the point of co
Practice: Polynomial notation such as P of x
Act as my SS2 Further Mathematics tutor. Give me five practice questions on polynomial not
Explain Back: Evaluating P of 2 for a given polynomial
I have just studied evaluating P of 2 for a given polynomial in my SS2 Further Mathematics
Practice: A division that leaves no remainder
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha
Explain Back: A division that leaves a constant remainder
I have just studied a division that leaves a constant remainder in my SS2 Further Mathemat
Show All Working: Synthetic division as a shorter route
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on synthetic divis
Practice: The remainder on dividing by 2x minus 1
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Practice: Showing that x plus 3 is a factor of a given polynomial
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Show All Working: What the factor theorem says about the roots
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor
Practice: Factorising a quartic as the product of two quadratics
Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a
Show All Working: Solving a cubic that must first be rearranged
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on solving a cubic
Show All Working: Translating an English sentence into logical symbols
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on translating an