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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The difference between pre-multiplying and post-multiplying by a matrix"

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Non-calculator paper: subtract polynomials and state the degree

Set me a non-calculator question where I subtract one polynomial from another, simplify, a

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

I have just studied the zero product rule, and why it works in my SS2 Further Mathematics

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Worked Example: Halving the coefficient of x and squaring it

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Worked Example: Substituting a, b and c into the quadratic formula correctly

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WAEC Prep: What the formula gives when the discriminant is negative

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Common Mistakes: A sign error in the formula, and how to catch it

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Quiz: Finding the sum and the product without solving the equation

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Final Revision: One root twice the other, and what that gives

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Worked Example: The identity linking alpha squared plus beta squared to the sum and product

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WAEC Prep: Forming an equation whose roots are alpha plus one and beta plus one

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Common Mistakes: A symmetric function needing the sum and product twice over

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Worked Example: Substituting into the quadratic and tidying up

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WAEC Prep: Finding the values of m for which a line cuts a curve twice

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Common Mistakes: A line and a curve meeting once without the line being a tangent

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Quiz: The leading term and the constant term

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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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WAEC Prep: The remainder theorem checked against long division

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WAEC Prep: The factor theorem for a factor of the form ax plus b

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Quiz: Disjunction and the inclusive or

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