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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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40 prompts matching "fully factorise x^3 - 7x + 6"

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

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^

Worked example: using the factor theorem to factorise a cubic

Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor

Quiz me on factorising quadratic expressions

Act as my SS2 Further Maths tutor. Quiz me with five quadratic expressions to factorise by

Spot my mistake in factorising x^2+5x+6

Act as my SS2 Further Maths tutor. I tried to factorise x^2 + 5x + 6 as (x+1)(x+6) but I'm

Difference of two squares practice

Act as my SS2 Further Maths tutor. Teach me how to recognise and factorise a difference of

Worked example: adding two polynomials

Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials

Quiz me on the binomial expansion of a bracket raised to the power four

Act as my SS2 Further Maths tutor. Quiz me with four binomial expressions and ask me to ex

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

Worked example: rationalising a binomial surd denominator

Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the

Worked example: simplify (3+2i) + (1-5i)

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

Worked example: simplify (2+i)(3-4i)

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

Worked example: simplify (4+3i)/(1-2i)

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

Worked example: find the modulus and argument of 3+4i

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

Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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

Multi-part exam question on factorising trinomials

I am in SS 2. Give me a three-part exam-style question, (a) (b) (c), where each part asks

Hence solve command word: quadratic equations

I am in SS 2. Explain what 'hence solve' means in an exam question, using an example where

Structured question: add and simplify two polynomials

I am in SS 2. Set me a structured Additional Maths question where I must add two given pol

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