755 prompts matching "The factor theorem applied to a quartic"
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Spot My Mistake: A binary operation defined on a set of three elements
Act as my SS1 Further Mathematics tutor. Work a question on a binary operation defined on
Common Mistakes: A binary operation that is ordinary addition in disguise
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on a b
Learn: What closure means for a binary operation
You are my personal SS1 Further Mathematics tutor. Teach me what closure means for a binar
Practice: Testing a set for closure under multiplication
Act as my SS1 Further Mathematics tutor. Give me five practice questions on testing a set
Spot My Mistake: Reading closure off an operation table
Act as my SS1 Further Mathematics tutor. Work a question on reading closure off an operati
Common Mistakes: Closure on a set of three elements under a stated rule
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on clo
Worked Example: Testing a*b against b*a for a given rule
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on testin
Quiz: Reading commutativity off a symmetrical operation table
Act as my SS1 Further Mathematics tutor and quiz me on reading commutativity off a symmetr
Practice: An operation that is not commutative, with a counter-example
Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t
Spot My Mistake: Testing (a*b)*c against a*(b*c)
Act as my SS1 Further Mathematics tutor. Work a question on testing (a*b)*c against a*(b*c
Final Revision: Why brackets matter when an operation is not associative
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of w
Quiz: Left distributivity and right distributivity
Act as my SS1 Further Mathematics tutor and quiz me on left distributivity and right distr
Practice: Multiplication distributing over addition in ordinary arithmetic
Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication
Explain Back: Showing distributivity fails by a counter-example
I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma
Spot My Mistake: Checking distributivity from two operation tables
Act as my SS1 Further Mathematics tutor. Work a question on checking distributivity from t
Common Mistakes: Distributivity on a set of three elements
Act as my SS1 Further Mathematics tutor. Show me the mistake pupils most often make on dis
Learn: What an identity element is
You are my personal SS1 Further Mathematics tutor. Teach me what an identity element is fr
Practice: Why an identity element must work from both sides
Act as my SS1 Further Mathematics tutor. Give me five practice questions on why an identit
Explain Back: What an inverse element is
I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me
Worked Example: Rewriting a negative index as a fraction
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on rewrit