1,043 prompts matching "Practice: What a singular coefficient matrix says about the equations"
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Worked example: is this line tangent to this curve
Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's
Quiz me on line and curve intersection conditions
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Explain line-curve intersection conditions back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the discriminan
Spot my mistake finding a tangent condition
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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: adding two polynomials
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Worked example: subtracting two polynomials
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Quiz me on subtracting a polynomial written in a bracket
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Spot my mistake adding polynomials
Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch
Explain polynomial addition back to me
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Teach me long division of polynomials
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Worked example: dividing a cubic by a linear polynomial
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Quiz me on polynomial division by a quadratic divisor
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Spot my mistake in polynomial long division
Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long
Explain polynomial long division back to me
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Divide a polynomial by a quadratic
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Teach me how to solve cubic equations
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Worked example: solving x^3-6x^2+11x-6=0
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Quiz me on solving cubic equations
Act as my SS2 Further Maths tutor. Quiz me with three cubic equations to solve completely,
Spot my mistake solving a cubic equation
Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t