861 prompts matching "Explain why a complex number times its conjugate is real"
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Teach me solving a linear and a quadratic equation by substitution
You are my SS2 Further Mathematics tutor. Teach me solving a linear and a quadratic equati
Worked example: reading the solutions as points of intersection
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on readin
Give me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Give me practice on tangent lines to curves
Act as my SS2 Further Maths tutor. Give me five practice questions on finding the conditio
Find the value of k for a line to be tangent to a curve
Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's
Teach me collecting like terms across two polynomials
You are my SS2 Further Mathematics tutor. Teach me collecting like terms across two polyno
Worked example: subtracting two polynomials
Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno
Quiz me on subtracting a polynomial written in a bracket
Act as my SS2 Further Mathematics tutor and quiz me on subtracting a polynomial written in
Give me practice adding and subtracting polynomials
Act as my SS2 Further Maths tutor. Give me eight practice questions on adding and subtract
Worked example: dividing a cubic by a linear polynomial
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Divide a polynomial by a quadratic
Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de
Teach me the stating the remainder theorem
You are my SS2 Further Mathematics tutor. Teach me stating the remainder theorem, in clear
Use the remainder theorem on x^3 - 2x^2 + 3x - 4 divided by x - 1
Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t
Use the remainder theorem on 2x^3 + x^2 - 5x + 2 divided by x + 2
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Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1
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Use the remainder theorem on x^3 - 6x^2 + 11x - 6 divided by x - 2
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Give me practice on the remainder theorem
Act as my SS2 Further Maths tutor. Give me eight practice questions on applying the remain
Teach me the stating the factor theorem
You are my SS2 Further Mathematics tutor. Teach me stating the factor theorem, in clear st
Worked example: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic