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Senior Secondary

Further Mathematics

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1,001 prompts matching "Forming an equation whose roots are alpha over beta and beta over alpha"

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Solve x^2 - 7x + 12 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

Solve 2x^2 + 7x + 3 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

Solve x^2 - 3x - 10 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

Solve 3x^2 - 5x - 2 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

Solve x^2 - 6x + 9 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

Solve 2x^2 - 11x + 5 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

Solve x^2 + x - 12 = 0 by factorisation

Act as my SS2 Further Maths tutor. Show me step by step how to solve the quadratic equatio

Quiz me: solving quadratics by factorisation

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations to solve by facto

Explain the factorisation method back to me

Act as my SS2 Further Maths tutor. Let me explain to you, in my own words, how to solve a

Derive the quadratic formula

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Teach me the deriving the quadratic formula

You are my SS2 Further Mathematics tutor. Teach me deriving the quadratic formula, in clea

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

Explain substitution method back to me

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Spot my mistake in a linear-quadratic system

Act as my SS2 Further Maths tutor. I tried substituting my linear equation into the quadra

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

Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials

Worked example: subtracting two polynomials

Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno

Teach me the stating the remainder theorem

You are my SS2 Further Mathematics tutor. Teach me stating the remainder theorem, in clear

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

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