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Senior Secondary

Further Mathematics

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1,045 prompts matching "The dot product of a vector with itself"

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Solve x^2 + 5x + 6 = 0 by factorisation

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

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

Give me practice solving quadratic equations

Act as my SS2 Further Maths tutor. Give me ten practice quadratic equations to solve by fa

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

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 polynomial division by a quadratic divisor

Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di

Teach me converse and inverse propositions

Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a

Give me practice on converse and inverse propositions

Act as my SS2 Further Maths tutor. Give me six conditional statements and ask me to form a

Quiz me on biconditional statements

Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each

Give me practice on logical equivalence

Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me

Teach me what a logical argument is

Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo

Worked example: testing an argument for validity

Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic

Teach me predicate logic basics

Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what

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