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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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996 prompts matching "Simplifying an expression with letters and indices"

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Common Mistakes: Checking a completed square by expanding it again

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

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Show All Working: Choosing between factorising and the formula

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

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Practice: Forming an equation from a given sum and product

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

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Show All Working: Forming an equation whose roots are three alpha and three beta

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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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Common Mistakes: A word problem giving one linear and one quadratic equation

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Show All Working: Adding and subtracting two polynomials

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

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Show All Working: A remainder of nought, and what it means

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Worked Example: Testing a list of candidates to find a factor

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Worked Example: Factorising a cubic into a linear and a quadratic factor

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Common Mistakes: Factorising fully, and knowing when to stop

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Show All Working: Why a conditional and its converse are not equivalent

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Common Mistakes: Writing the converse, inverse and contrapositive of one statement

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Common Mistakes: Deciding between tautology, contradiction and contingency

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Worked Example: Premises and conclusion

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