1,045 prompts matching "Showing that fg(x) is not the same as gf(x)"
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Spot the examiner's trick in a factorisation question
I am in SS 2. Give me a quadratic equation exam question that has a common trap, such as a
Worked Example: Factorising a quadratic whose leading coefficient is not one
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor
Spot My Mistake: Solving a quadratic that must be rearranged before factorising
Act as my SS2 Further Mathematics tutor. Work a question on solving a quadratic that must
Common Mistakes: Writing down the roots once the brackets are found
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on wri
Show All Working: Choosing between factorising and the formula
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on choosing betwee
Common Mistakes: A sign error in the formula, and how to catch it
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s
Learn: The sum of the roots as minus b over a
You are my personal SS2 Further Mathematics tutor. Teach me the sum of the roots as minus
Common Mistakes: A symmetric function needing the sum and product twice over
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a s
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
Common Mistakes: A line and a curve meeting once without the line being a tangent
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a l
Learn: Setting out the division of a cubic by a linear expression
You are my personal SS2 Further Mathematics tutor. Teach me setting out the division of a
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
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
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
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
Explain Back: Finding a coefficient so that a stated expression is a factor
I have just studied finding a coefficient so that a stated expression is a factor in my SS
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: 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
Worked Example: Sentences that are not propositions
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on senten