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Further Mathematics

AI prompts for senior secondary learners.

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1,043 prompts matching "Dividing surds using the quotient rule"

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Common Mistakes: Using the factor theorem before dividing

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Worked example: using the factor theorem to factorise a cubic

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Quiz me on the using the discriminant to describe the roots

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Worked example: expanding (2x-3)^5 using the binomial formula

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Teach me dividing complex numbers by rationalising with the conjugate

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Simplify the surd expression sqrt(72) + sqrt(18)

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Simplify the surd expression sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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

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Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

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Explain Back: The zero product rule, and why it works

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Explain Back: An answer left in surd form after completing the square

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Explain Back: Leaving the roots of a quadratic in surd form

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WAEC Prep: Dividing by a factor of the form ax plus b

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Common Mistakes: The degree of the quotient and of the remainder

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Worked Example: The remainder on dividing by x minus 3

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Quiz: The remainder on dividing by x plus 2

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