1,326 prompts matching "Practice: Factorising a quartic as the product of two quadratics"
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Explain-back: complex conjugates
I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di
Worked example: solving simultaneous equations with matrices
I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve
Spot my mistake in a Cramer's rule solution
I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su
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
Quiz me: forces and equilibrium mixed
I am in SS 3. Quiz me with one resultant-of-forces question and one moments/equilibrium qu
Quiz me: calculus differentiation rules
I am in SS 3. Quiz me with three short differentiation questions, one needing the product
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
Show all working: calculus and stationary points multi-part
I am in SS 3. Give me a multi-part Cambridge Additional Mathematics style question: part (
Quiz: Testing a binary operation for commutativity
Act as my SS3 Further Mathematics tutor and quiz me on testing a binary operation for comm
WAEC Prep: Completing a Cayley table for an operation on a small set
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
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
Spot My Mistake: Squaring a bracket that contains a surd
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Quiz: Forming a quadratic equation whose roots are given
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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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
Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
Act as my SS3 Further Mathematics tutor. Work a question on forming an equation whose root
WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Worked Example: Evaluating a polynomial by substitution
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua