1,328 prompts matching "Practice: A cubic with one real root and two complex ones"
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Complex number arithmetic practice #4
I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th
Complex number arithmetic practice #5
I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1
Explain why a complex number times its conjugate is real
I have just studied why a complex number times its conjugate is real in my SS3 Further Mat
WAEC past-question practice: complex numbers #4
I am in SS 3. Test me with a timed WAEC-style complex numbers question, give it to me cold
Integration practice question #1
I am in SS 3. Give me an integration problem where I must find the integral of 4x^3 - 6x +
Integration practice question #2
I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi
Teach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o
Explain the difference between differentiation and integration
I am in SS 3. Explain in simple terms how differentiation and integration are opposite pro
WAEC past-question practice: calculus #4
I am in SS 3. Test me with a timed WAEC-style calculus question, give it to me cold, then
Kinematics: equations of motion practice #5
I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,
Show all working: the range and the greatest height of a projectile
I am in SS 3. Give me a Cambridge Additional Mathematics style the range and the greatest
WAEC past-question practice: mechanics #4
I am in SS 3. Test me with a timed WAEC-style mechanics question, give it to me cold, then
WAEC Further Mathematics command words explained
I am in SS 3. Explain what WAEC command words like 'evaluate', 'hence', 'show that' and 'd
Worked example: resultant of two forces
I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a
Worked example: finding the matrix of cofactors and the adjugate
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ma
Show all working: mixed matrices and determinants exam question
I am in SS 3. Give me a Cambridge Additional Mathematics style multi-part question combini
WAEC Further Mathematics: vectors and geometry combined question
I am in SS 3. Give me a WAEC Further Mathematics style question combining position vectors
WAEC Further Mathematics: matrices in a real-world context
I am in SS 3. Give me a WAEC Further Mathematics style word problem that applies matrix op
Worked Example: The intersection of two overlapping sets
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the in
Practice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina