Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →971 prompts matching "Raising a complex number to a power by de Moivre's theorem"
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: simplify (4+3i)/(1-2i)
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Subscribe to unlock allWorked 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
Subscribe to unlock allStructured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Subscribe to unlock allExpress in the form command word: completing the square
Set me a Cambridge Additional Maths question phrased 'Express x^2 + bx + c in the form (x+
Subscribe to unlock allSpot my mistake solving x^2-3x-10=0
Act as my SS2 Further Maths tutor. I solved x^2-3x-10=0 and got x=2 or x=-5. Check my work
Subscribe to unlock allWhy does completing the square work
Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work
Subscribe to unlock allWAEC question requiring completing the square
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question that
Subscribe to unlock allDiscriminant and the nature of roots
Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q
Subscribe to unlock allGive me practice on sum and product of roots
Act as my SS2 Further Maths tutor. Give me eight practice questions on finding the sum and
Subscribe to unlock allGive me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
Subscribe to unlock allSpot my mistake in a linear-quadratic system
Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra
Subscribe to unlock allQuiz me on line and curve intersection conditions
Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and
Subscribe to unlock allSpot my mistake finding a tangent condition
Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w
Subscribe to unlock allTeach me what a polynomial is
Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term
Subscribe to unlock allWorked example: adding two polynomials
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Subscribe to unlock allQuiz me on subtracting a polynomial written in a bracket
Act as my SS2 Further Mathematics tutor and quiz me on subtracting a polynomial written in
Subscribe to unlock allGive me practice adding and subtracting polynomials
Act as my SS2 Further Maths tutor. Give me eight practice questions on adding and subtract
Subscribe to unlock allSpot my mistake adding polynomials
Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch
Subscribe to unlock allGive me practice on polynomial long division
Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials
Subscribe to unlock allWorked 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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