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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 remainder when a polynomial is divided by a quadratic"

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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: find the magnitude of the vector (3,4)

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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Worked example: find the unit vector in the direction of (6,8)

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Worked example: expand (x+2)^5 fully using the binomial theorem

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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Real-life application of completing the square

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Real-life application of the binomial theorem

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Real-life application of measures of dispersion

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Real-life application of the factor theorem

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Real-life application of testing the validity of an argument

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Real-life application of the condition for a line to be tangent to a curve

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Give me a 5-minute recap of quadratic equations

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Cambridge-style structured question: factorise x^2 + 9x + 20

Set me a Cambridge Additional Maths structured question that says 'Factorise completely x^

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Cambridge-style structured question: factorise x^2 - 11x + 24

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Cambridge-style structured question: factorise x^2 + 3x - 28

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Cambridge-style structured question: factorise 2x^2 + 9x + 4

Set me a Cambridge Additional Maths structured question that says 'Factorise completely 2x

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Cambridge-style structured question: factorise 3x^2 - 11x + 6

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