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Senior Secondary

Further Mathematics

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725 prompts matching "Structured question: three-part algebra question mixing methods"

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Show All Working: A simultaneous pair in which the second equation is a circle

Act as my Further Mathematics examiner. I am in SS 2. Set me a question on a simultaneous

Worked Example: The discriminant used as the test for intersection

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

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Show All Working: The point of contact when a line touches a curve

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Worked Example: The degree of a polynomial in one variable

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WAEC Prep: Expressions that are not polynomials, and why not

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Show All Working: Adding and subtracting two polynomials

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Worked Example: The division algorithm for polynomials

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

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Show All Working: Synthetic division as a shorter route

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

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Show All Working: What the factor theorem says about the roots

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

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WAEC Prep: Factorising the difference of two cubes

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Show All Working: Factorising a polynomial with fractional roots

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Worked Example: How many roots a cubic equation has

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