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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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729 prompts matching "Algebraic long division of a simple polynomial by a linear factor"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Complete the square for x^2 + 8x + 10 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 8x + 10 = 0 by

Complete the square for 2x^2 + 4x - 3 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2x^2 + 4x - 3 = 0 by

Complete the square for x^2 - 10x + 21 = 0

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Complete the square for x^2 + 3x - 4 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c

Complete the square for 3x^2 + 6x - 2 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 6x - 2 = 0 by

Derive the quadratic formula

Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form

Worked example: using the factor theorem to factorise a cubic

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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

Teach me what a proposition is

Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an

Teach me the truth table for negation

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation

Teach me the truth table for conjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti

Teach me the truth table for disjunction

Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti

Quiz me on why negation reverses every truth value

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

Quiz me on converse and inverse

Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as

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

Spot my mistake in a combination problem

Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi

Teach me approximating powers using binomial expansion

Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate

Worked example: evaluating a power using binomial expansion

Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp

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