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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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402 prompts matching "Locus problem: points equidistant from two fixed points"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Solve x^2 - 6x + 9 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

Solve 2x^2 - 11x + 5 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

Solve x^2 + x - 12 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

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

Teach me conditions for a line and a curve to intersect

Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line

Teach me the equation of a straight line

Act as my SS2 Further Maths tutor. Teach me how to find the equation of a straight line gi

Spot my mistake finding a line's equation

Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi

Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

Worked example: differentiate y = (2x-1)(x+3) after expanding it first

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

Structured question: complete the square then find the minimum

I am in SS 2. Give me a two-part structured question where I first complete the square for

Factorise x^2 + 5x + 6

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

Factorise x^2 - 7x + 12

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

Factorise x^2 + 2x - 15

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

Factorise 2x^2 + 7x + 3

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^

Factorise 3x^2 - 5x - 2

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 3x^

Factorise 6x^2 + x - 12

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 6x^

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

Factorise 4x^2 - 25

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 4x^

Factorise x^2 - x - 20

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

Factorise 2x^2 - 11x + 5

Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial 2x^

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