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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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883 prompts matching "Proving that a quadratic expression is positive for every real x"

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

Structured question: solve a quadratic inequality and state the range

I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve

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Explain back: completing the square when the coefficient of x squared is not one

I have just studied completing the square when the coefficient of x squared is not one in

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Explain Back: An answer left in surd form after completing the square

I have just studied an answer left in surd form after completing the square in my SS2 Furt

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Spot My Mistake: Completing the square when the roots are not real

Act as my SS2 Further Mathematics tutor. Work a question on completing the square when the

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Practice: Forming an equation from a given sum and product

Act as my SS2 Further Mathematics tutor. Give me five practice questions on forming an equ

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Explain Back: Finding a missing coefficient from a stated sum of roots

I have just studied finding a missing coefficient from a stated sum of roots in my SS2 Fur

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Spot My Mistake: The value of alpha over beta plus beta over alpha

Act as my SS2 Further Mathematics tutor. Work a question on the value of alpha over beta p

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Spot My Mistake: A pair with equal roots, meaning one solution only

Act as my SS2 Further Mathematics tutor. Work a question on a pair with equal roots, meani

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Quiz: The condition for two points of intersection

Act as my SS2 Further Mathematics tutor and quiz me on the condition for two points of int

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Practice: The condition for the line to be a tangent

Act as my SS2 Further Mathematics tutor. Give me five practice questions on the condition

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Explain Back: The condition for the line never to meet the curve

I have just studied the condition for the line never to meet the curve in my SS2 Further M

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Explain Back: Evaluating P of 2 for a given polynomial

I have just studied evaluating P of 2 for a given polynomial in my SS2 Further Mathematics

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Spot My Mistake: A polynomial written in descending powers

Act as my SS2 Further Mathematics tutor. Work a question on a polynomial written in descen

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Final Revision: Writing the result of a polynomial division out in full

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of w

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Explain Back: Finding a coefficient when the remainder is given

I have just studied finding a coefficient when the remainder is given in my SS2 Further Ma

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Spot My Mistake: Finding two coefficients from two remainder conditions

Act as my SS2 Further Mathematics tutor. Work a question on finding two coefficients from

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WAEC Prep: The remainder theorem checked against long division

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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Spot My Mistake: The factor theorem applied to a quartic

Act as my SS2 Further Mathematics tutor. Work a question on the factor theorem applied to

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WAEC Prep: Factorising the difference of two cubes

Act as my SS 2 Further Mathematics teacher setting an examination question. Give me a ques

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Final Revision: Checking a factorisation by expanding it again

Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c

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