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Further Mathematics

AI prompts for senior secondary learners.

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1,045 prompts matching "The relations between roots and coefficients for a quartic"

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Find sum and product of roots of 2x^2 - 5x + 3 = 0

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Find sum and product of roots of x^2 + 4x - 12 = 0

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Find sum and product of roots of 3x^2 + 7x - 6 = 0

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Find sum and product of roots of x^2 - 8x + 15 = 0

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Explain sum and product of roots back to me

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Sum and product of roots of a cubic equation

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Teach me the universal and existential quantifiers

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Give me memory tricks for Further Maths formulas

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked example: expand (x+2)^5 fully using the binomial theorem

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Find the value of k: quadratic with equal roots

Set me an Additional Maths exam question of the type 'find the value of k for which the eq

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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

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Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

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Learn: Making the coefficient of x squared equal to one first

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Spot My Mistake: Completing the square when the roots are not real

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Practice: Giving the roots correct to two decimal places

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Learn: The sum of the roots as minus b over a

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Learn: What makes an expression in the roots symmetric

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Spot My Mistake: The factor theorem applied to a quartic

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Practice: Factorising a quartic as the product of two quadratics

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