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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "Learn: The sum and the product of the roots read from the coefficients"

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Worked example: reading the solutions as points of intersection

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

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Teach me the truth table of p if and only if q

You are my SS2 Further Mathematics tutor. Teach me the truth table of p if and only if q,

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

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

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Worked example: find the equation of the line through (2,3) and (5,9)

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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Find alpha squared plus beta squared using sum and product

I am in SS 2. Give me an Additional Maths style question where I know alpha+beta and alpha

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Find the range of values command word: quadratic inequality

I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'

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Explain Back: The zero product rule, and why it works

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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Learn: Making the coefficient of x squared equal to one first

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Worked Example: Halving the coefficient of x and squaring it

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Explain Back: Leaving the roots of a quadratic in surd form

I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem

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Learn: Making one unknown the subject of the linear equation

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Learn: Setting out the division of a cubic by a linear expression

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Common Mistakes: The degree of the quotient and of the remainder

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