643 prompts matching "Proving that a quadratic expression is positive for every real x"
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Spot My Mistake: Dividing one surd by another
Act as my SS1 Further Mathematics tutor. Work a question on dividing one surd by another w
Explain Back: Simplifying the answer once the denominator is rational
I have just studied simplifying the answer once the denominator is rational in my SS1 Furt
Spot My Mistake: Simplifying the denominator once the conjugate has been used
Act as my SS1 Further Mathematics tutor. Work a question on simplifying the denominator on
Quiz: Checking a surd equation for extraneous roots
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Explain Back: Solving an equation where the surd must be isolated first
I have just studied solving an equation where the surd must be isolated first in my SS1 Fu
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
Final Revision: Deciding whether a given rule really is a binary operation
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Quiz: Testing the odd numbers for closure under addition
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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
Explain Back: What it means for an operation to be associative
I have just studied what it means for an operation to be associative in my SS1 Further Mat
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
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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
WAEC Prep: A rule where distributivity holds one way only
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Final Revision: Why distributivity links two operations rather than one
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Explain Back: What an inverse element is
I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me
Spot My Mistake: Finding the inverse of a given element
Act as my SS1 Further Mathematics tutor. Work a question on finding the inverse of a given
Quiz: The law for dividing powers of the same base
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Spot My Mistake: A negative fractional index
Act as my SS1 Further Mathematics tutor. Work a question on a negative fractional index wi