861 prompts matching "Explain why a complex number times its conjugate is real"
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Practice: A division that leaves no remainder
Act as my SS2 Further Mathematics tutor. Give me five practice questions on a division tha
Spot My Mistake: A division that leaves a linear remainder
Act as my SS2 Further Mathematics tutor. Work a question on a division that leaves a linea
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
Common Mistakes: The degree of the quotient and of the remainder
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on the
Final Revision: Writing the result of a polynomial division out in full
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w
Common Mistakes: The remainder theorem applied to a quartic
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on the
Practice: Showing that x plus 3 is a factor of a given polynomial
Act as my SS2 Further Mathematics tutor. Give me five practice questions on showing that x
Common Mistakes: Using the factor theorem before dividing
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on usi
Learn: Factorising a cubic into three linear factors
You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three
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
Explain Back: A polynomial with a repeated linear factor
I have just studied a polynomial with a repeated linear factor in my SS2 Further Mathemati
Spot My Mistake: Factorising the sum of two cubes
Act as my SS2 Further Mathematics tutor. Work a question on factorising the sum of two cub
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
Common Mistakes: Factorising fully, and knowing when to stop
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Final Revision: Checking a factorisation by expanding it again
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Learn: Solving a cubic once it has been factorised
You are my personal SS2 Further Mathematics tutor. Teach me solving a cubic once it has be
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
Explain Back: A cubic with a repeated root
I have just studied a cubic with a repeated root in my SS2 Further Mathematics class. Let
Spot My Mistake: Finding the remaining roots once one is known
Act as my SS2 Further Mathematics tutor. Work a question on finding the remaining roots on
Common Mistakes: A cubic equation arising from a volume problem
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a c