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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,043 prompts matching "Three roots in geometric progression in a cubic"

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Quiz: A cubic with three distinct real roots

Act as my SS2 Further Mathematics tutor and quiz me on a cubic with three distinct real ro

Final Revision: Checking a root of a cubic by substitution

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

Spot my mistake in a geometric progression

Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom

Explain arithmetic and geometric progressions back to me

Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr

Show All Working: Forming an equation whose roots are three alpha and three beta

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on forming an equa

Learn: Factorising a cubic into three linear factors

You are my personal SS2 Further Mathematics tutor. Teach me factorising a cubic into three

Explain Back: A cubic with a repeated root

I have just studied a cubic with a repeated root in my SS2 Further Mathematics class. Let

Quiz me on solving cubic equations

Act as my SS2 Further Maths tutor. Quiz me with three cubic equations to solve completely,

Spot my mistake solving a cubic equation

Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t

Sum and product of roots of a cubic equation

Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o

Teach me geometric progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

Quiz me on arithmetic and geometric progressions

Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome

Final Revision: One root twice the other, and what that gives

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of o

Worked Example: How many roots a cubic equation has

Act as my SS2 Further Mathematics tutor. Take me through one full worked example on how ma

Practice: A cubic with one real root and two complex ones

Act as my SS2 Further Mathematics tutor. Give me five practice questions on a cubic with o

Quiz me on the using the discriminant to describe the roots

Act as my SS2 Further Mathematics tutor and quiz me on using the discriminant to describe

Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

Find sum and product of roots of 2x^2 - 5x + 3 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

Find sum and product of roots of x^2 + 4x - 12 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

Find sum and product of roots of 3x^2 + 7x - 6 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

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