1,328 prompts matching "Practice: A cubic with one real root and two complex ones"
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Worked example: prove an argument invalid using a truth table
I am in SS 3. Show me a full worked example of testing a logical argument for validity usi
Structured word problem: WAEC exam hall seating combinations
I am in SS 3. Set me a structured combinations word problem about choosing students for an
Structured word problem: market trader's geometric savings
I am in SS 3. Give me a structured geometric progression word problem where a market trade
Structured word problem: population growth as a geometric sequence
I am in SS 3. Set me a structured word problem where a town's population grows geometrical
Structured question: composite function domain restriction
I am in SS 3. Give me a structured question where the composite function fg(x) is undefine
Structured question: logarithmic equation reducing to a quadratic
I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x
Structured question: quadratic word problem about a thrown ball
I am in SS 3. Set me a structured Additional Maths word problem where the height of a thro
Structured question: simplifying a surd raised to a fractional index
I am in SS 3. Give me a structured question simplifying an expression that combines a surd
Structured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
Structured question: sum of a series expressed using sigma notation
I am in SS 3. Give me a structured question where a sum is written using sigma notation fo
Structured question: binomial expansion used for a probability estimate
I am in SS 3. Give me a structured question where I use a binomial expansion to estimate a
Explain back: quadratic inequality solution notation
I am in SS 3. Let me explain in my own words how to correctly write the solution set of a
Explain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Give me a mixed revision pack blending three topics
I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua
Worked Example: The associative law for the product of three matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the as
Worked Example: Taking a common factor out of a matrix
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on taking
Worked Example: What a determinant of nought means for a 2 by 2 matrix
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on what a
Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua
Worked Example: Forming the determinant Dy by replacing the second column
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on formin
Worked Example: The identity that A times its adjoint gives the determinant times the identity
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the id