754 prompts matching "Structured question: arrangements with a restriction"
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Show that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Non-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Explain back: completing the square when the coefficient of x squared is not one
I have just studied completing the square when the coefficient of x squared is not one in
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
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
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
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
Worked Example: Halving the coefficient of x and squaring it
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on halvin
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
Common Mistakes: Checking a completed square by expanding it again
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on che
Worked Example: Substituting a, b and c into the quadratic formula correctly
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on substi
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
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
Worked Example: The product of the roots as c over a
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Practice: Forming an equation from a given sum and product
Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ
Explain Back: Finding a missing coefficient from a stated sum of roots
I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur
Show All Working: Roots equal in magnitude but opposite in sign
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on roots equal in