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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,043 prompts matching "Evaluating a numerical expression using the index laws"

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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

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

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

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Hence solve command word: quadratic equations

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

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Teach me solving quadratic inequalities

Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a

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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

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

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

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Find sum and product of roots of x^2 - 8x + 15 = 0

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Build a quadratic equation from given roots

Act as my SS2 Further Maths tutor. Teach me how to construct a quadratic equation when I a

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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

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Worked example: is this line tangent to this curve

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WAEC question on maximum and minimum values from curves

Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question about

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Teach me what a polynomial is

Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term

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Teach me long division of polynomials

Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of

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Worked example: dividing a cubic by a linear polynomial

Act as my SS2 Further Maths tutor. Show me a complete worked example of dividing a cubic p

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Spot my mistake in polynomial long division

Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long

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Teach me how to solve cubic equations

Act as my SS2 Further Maths tutor. Teach me how to solve a cubic equation by first using t

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Worked example: solving x^3-6x^2+11x-6=0

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

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Give me practice solving cubic equations

Act as my SS2 Further Maths tutor. Give me six practice cubic equations to solve completel

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