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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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943 prompts matching "Practice: Using a binomial expansion to approximate a number"

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

Worked example: expanding (x+y)^4 using Pascal's triangle

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin

Quiz me on finding specific terms in expansions

Act as my SS2 Further Maths tutor. Quiz me with three binomial expansions and ask me to fi

Teach me rationalising the denominator

Act as my SS2 Further Maths tutor. Teach me how to rationalise a denominator containing a

Give me practice on the equation of a circle

Act as my SS2 Further Maths tutor. Give me six practice questions on finding or using the

Worked example: find the term in x^3 in the expansion of (2x-1)^6

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

Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

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

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^

Solve x^2 + 5x + 6 = 0 by factorisation

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

Solve x^2 - 7x + 12 = 0 by factorisation

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

Solve 2x^2 + 7x + 3 = 0 by factorisation

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

Solve x^2 - 3x - 10 = 0 by factorisation

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

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