1,333 prompts matching "Use the remainder theorem on x^3 - 6x^2 + 11x - 6 divided by x - 2"
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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 equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Explain how to present working for full WAEC marks
I am in SS 3. Explain how to lay out my working clearly enough to earn full method marks i
Explain-back: what a matrix inverse actually does
I am in SS 3. Let me explain in my own words what finding a matrix inverse allows you to d
Explain-back: equilibrium of a rigid body
I am in SS 3. Let me explain what conditions must hold for a rigid body to be in equilibri
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: projectile range and time of flight
I am in SS 3. Show me a fully worked projectile motion example finding both the time of fl
Spot my mistake integrating a polynomial
I am in SS 3. I integrated a polynomial but I think I forgot the constant of integration o
Spot my mistake solving a moments problem
I am in SS 3. I set up a moments equation about a pivot but I think I forgot to use a perp
Quiz me: matrices, determinants and inverses mixed
I am in SS 3. Quiz me with three short questions, one on matrix multiplication, one on a d
Show all working: complex numbers and quadratics combined
I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a
Teach me Cramer's rule from first principles
I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de
Show All Working: A three-set Venn diagram drawn from a subject survey
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on a three-se
Worked Example: Collecting like surds in a single sum
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on collec
Quiz: Finding alpha cubed plus beta cubed
Act as my SS3 Further Mathematics tutor and quiz me on finding alpha cubed plus beta cubed
Explain Back: Finding alpha squared beta plus alpha beta squared
I have just studied finding alpha squared beta plus alpha beta squared in my SS3 Further M
WAEC Prep: Sketching a cubic from its factorised form
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Quiz: Solving a quadratic inequality using a sign table
Act as my SS3 Further Mathematics tutor and quiz me on solving a quadratic inequality usin
Explain Back: Solving an inequality that involves a modulus
I have just studied solving an inequality that involves a modulus in my SS3 Further Mathem