756 prompts matching "Structured question: unknown coefficient from a factor condition"
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Cambridge-style question: quadratic formula derivation
I am in SS 2. Ask me to derive the quadratic formula from ax^2+bx+c=0 by completing the sq
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
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
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
Final Revision: A word problem solved by factorising a quadratic
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
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
Show All Working: Completing the square with a fractional coefficient of x
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on completing the
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
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
Quiz: Solving the quadratic that results from the substitution
Act as my SS2 Further Mathematics tutor and quiz me on solving the quadratic that results
Explain Back: The condition for the line never to meet the curve
I have just studied the condition for the line never to meet the curve in my SS2 Further M
WAEC Prep: Dividing by a factor of the form ax plus b
Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques
Explain Back: Finding a coefficient when the remainder is given
I have just studied finding a coefficient when the remainder is given in my SS2 Further Ma
Worked Example: Testing a list of candidates to find a factor
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on testin
Spot My Mistake: The factor theorem applied to a quartic
Act as my SS2 Further Mathematics tutor. Work a question on the factor theorem applied to
WAEC Prep: The factor theorem for a factor of the form ax plus b
Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques
Show All Working: What the factor theorem says about the roots
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on what the factor
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
Worked Example: Factorising a cubic into a linear and a quadratic factor
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on factor
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