883 prompts matching "Proving that a quadratic expression is positive for every real x"
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Structured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
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
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
Spot My Mistake: Completing the square when the roots are not real
Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the
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
Spot My Mistake: The value of alpha over beta plus beta over alpha
Act as my SS2 Further Mathematics tutor. Work a question on the value of alpha over beta p
Spot My Mistake: A pair with equal roots, meaning one solution only
Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani
Quiz: The condition for two points of intersection
Act as my SS2 Further Mathematics tutor and quiz me on the condition for two points of int
Practice: The condition for the line to be a tangent
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the condition
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
Explain Back: Evaluating P of 2 for a given polynomial
I have just studied evaluating P of 2 for a given polynomial in my SS2 Further Mathematics
Spot My Mistake: A polynomial written in descending powers
Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen
Final Revision: Writing the result of a polynomial division out in full
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w
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
Spot My Mistake: Finding two coefficients from two remainder conditions
Act as my SS2 Further Mathematics tutor. Work a question on finding two coefficients from
WAEC Prep: The remainder theorem checked against long division
Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques
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: Factorising the difference of two cubes
Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques
Final Revision: Checking a factorisation by expanding it again
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c