Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →759 prompts matching "Quiz: A rate of change problem about a vessel filling with water"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain completing the square back to me
Act as my SS2 Further Maths tutor. I'll explain the completing the square method back to y
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 allDerive the quadratic formula
Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form
Subscribe to unlock allBuild a quadratic equation from given roots
Act as my SS2 Further Maths tutor. Teach me how to construct a quadratic equation when I a
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 allWhy simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Subscribe to unlock allTeach 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
Subscribe to unlock allWorked example: is this line tangent to this curve
Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's
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
Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials
Subscribe to unlock allWorked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
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 allWorked 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
Subscribe to unlock allExplain polynomial long division back to me
Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back
Subscribe to unlock allDivide a polynomial by a quadratic
Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de
Subscribe to unlock allWorked 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
Subscribe to unlock allGive me practice factorising polynomials with the factor theorem
Act as my SS2 Further Maths tutor. Give me six practice questions where I use the factor t
Subscribe to unlock allSpot my mistake using the remainder theorem
Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I
Subscribe to unlock allExplain the difference between remainder and factor theorem
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between the
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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