1,045 prompts matching "The discriminant, and what each of its three cases means"
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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: 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
Quiz: A negative value of b in the quadratic formula
Act as my SS2 Further Mathematics tutor and quiz me on a negative value of b in the quadra
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
Common Mistakes: Roots that are reciprocals of one another
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on roo
Quiz: The value of one over alpha squared plus one over beta squared
Act as my SS2 Further Mathematics tutor and quiz me on the value of one over alpha squared
Practice: The value of alpha to the fourth plus beta to the fourth
Act as my SS2 Further Mathematics tutor. Give me five practice questions on the value of a
Explain Back: The value of alpha minus beta, all squared
I have just studied the value of alpha minus beta, all squared in my SS2 Further Mathemati
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
Common Mistakes: A symmetric function needing the sum and product twice over
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Practice: Finding the matching value of the second unknown
Act as my SS2 Further Mathematics tutor. Give me five practice questions on finding the ma
Quiz: The condition for two points of intersection
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Show All Working: The point of contact when a line touches a curve
Act as my Further Mathematics examiner. I am in SS 2. Set me a question on the point of co
Common Mistakes: A line and a curve meeting once without the line being a tangent
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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
Practice: Factorising a quartic as the product of two quadratics
Act as my SS2 Further Mathematics tutor. Give me five practice questions on factorising a
Spot My Mistake: Factorising the sum of two cubes
Act as my SS2 Further Mathematics tutor. Work a question on factorising the sum of two cub