1,045 prompts matching "The difference of two squares applied to surd conjugates"
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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
Structured question: solve and check a quadratic equation
Give me a structured Additional Maths question with two parts: (a) solve a quadratic equat
Discriminant classification exam question
I am in SS 2. Give me a short structured question where I must use the discriminant to sta
Form a quadratic from a given sum and product
Set me a structured question: given the sum and product of the roots of a quadratic equati
Teach me solving quadratic inequalities
Teach me how to solve a quadratic inequality like x^2-5x+6>0 using a sketch of the curve a
Quiz me on quadratic inequalities
I am in SS 2. Quiz me with five short quadratic inequality questions of increasing difficu
Cambridge-style structured question: line meets a curve
I am in SS 2. Give me a Cambridge Additional Maths structured question where I substitute
Show that command word: polynomial identity
I am in SS 2. Give me a 'show that' polynomial question where I must expand and simplify b
Common Mistakes: A word problem giving one linear and one quadratic equation
Act as my SS2 Further Mathematics tutor. Show me the mistake pupils most often make on a w
Final Revision: Checking both solutions in both equations
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Final Revision: A word problem about a line and a parabola
Act as my SS2 Further Mathematics tutor at the end of the term. Give me a rapid recap of a
Learn: What makes an expression a polynomial
You are my personal SS2 Further Mathematics tutor. Teach me what makes an expression a pol
Common Mistakes: A cubic equation arising from a volume problem
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Learn: What makes a sentence a proposition
You are my personal SS2 Further Mathematics tutor. Teach me what makes a sentence a propos
Final Revision: A compound proposition built from three simple ones
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Learn: How many rows a truth table needs
You are my personal SS2 Further Mathematics tutor. Teach me how many rows a truth table ne
Final Revision: A conditional statement set in an everyday situation
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Learn: What makes an argument valid
You are my personal SS2 Further Mathematics tutor. Teach me what makes an argument valid f
Final Revision: An argument written in words and tested for validity
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Learn: Arranging five different books on a shelf
You are my personal SS2 Further Mathematics tutor. Teach me arranging five different books