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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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789 prompts matching "Factorising a polynomial with fractional roots"

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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate

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WAEC Prep: Comparing the sizes of two surds without a calculator

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Show All Working: Expressing a number in the form a root b

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Common Mistakes: Solving an equation in which the unknown sits under a root

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

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Show All Working: Solving a logarithmic equation and rejecting the invalid root

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Practice: The condition for a quadratic equation to have equal roots

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Explain Back: The range of values of k for which the roots are real

I have just studied the range of values of k for which the roots are real in my SS3 Furthe

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Show All Working: Finding a coefficient given a stated relation between the roots

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Common Mistakes: Symmetric functions when the three roots of a cubic are involved

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Worked Example: Evaluating a polynomial by substitution

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Practice: Factorising a cubic completely once one factor is known

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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial

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Common Mistakes: Adding, subtracting and multiplying two polynomials

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Practice: Finding the third root of a cubic when two are known

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Explain Back: Forming a cubic equation whose three roots are given

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Show All Working: Three roots in arithmetic progression in a cubic

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Common Mistakes: Three roots in geometric progression in a cubic

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Practice: Solving an inequality with the unknown in the denominator

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