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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,326 prompts matching "completing the square when the coefficient of x squared is not one"

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WAEC Prep: The remainder when a polynomial is divided by a quadratic

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the remainder when

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WAEC Prep: The mean of a frequency distribution

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Explain the properties of the normal distribution curve

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Spot My Mistake: Finding the inverse of an element under a binary operation

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Practice: Rationalising a denominator of the form root a

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

I have just studied rationalising a denominator of the form a plus root b using the conjug

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Learn: The multiplication and division laws of indices used together

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Spot My Mistake: The power law of logarithms

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Worked Example: The discriminant, and what each of its three cases means

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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original

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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Spot My Mistake: Showing the solution of an inequality on a number line

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Common Mistakes: The range of values of x for which an expression stays positive

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Practice: Arrangements when some of the objects are identical

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha

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Common Mistakes: Giving the general solution of a trigonometric equation

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