1,003 prompts matching "Non-calculator paper: exact value question on sum and product of roots"
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Use the quadratic formula on 3x^2 + 5x + 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 5x + 1 = 0 usi
Use the quadratic formula on x^2 - 2x - 2 = 0
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Use the quadratic formula on 4x^2 - 4x - 3 = 0
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Use the quadratic formula on x^2 + x - 1 = 0
Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + x - 1 = 0 using
Spot my mistake with sum and product of roots
Act as my SS2 Further Maths tutor. I calculated the sum and product of the roots of 2x^2-5
Quiz me on checking both pairs of solutions of a linear-quadratic pair
Act as my SS2 Further Maths tutor. Quiz me with three pairs of simultaneous equations, eac
Give me practice on simultaneous equations
Act as my SS2 Further Maths tutor. Give me six practice problems on simultaneous equations
Explain substitution method back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the substitutio
WAEC-style simultaneous equation problem
Act as my SS2 Further Maths tutor. Set me a WAEC Further Mathematics word problem that lea
Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
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
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
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
Act as my SS2 Further Maths tutor. I substituted my line into the curve equation to find w
Explain polynomial addition back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to add and subtract po
Teach me long division of polynomials
Act as my SS2 Further Maths tutor. Teach me how to divide a polynomial by a polynomial of
Explain polynomial long division back to me
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Use the remainder theorem on x^3 - 2x^2 + 3x - 4 divided by x - 1
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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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