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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,332 prompts matching "Explain sum and product of roots back to me"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Worked Example: The powers of i, and the cycle they follow

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WAEC Prep: The conjugate of a product of two complex numbers

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WAEC Prep: The modulus of a product of two complex numbers

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WAEC Prep: The square roots of a complex number

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WAEC Prep: The arguments of the n roots, spaced equally round the circle

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Learn: The cube roots of unity

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Practice: Why complex roots of a real quadratic come in conjugate pairs

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WAEC Prep: Differentiating the square root of a function

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Spot My Mistake: The sum of the first n terms of an arithmetic progression

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Explain the rule of signs for determinants

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

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Explain the adjoint of a matrix

Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi

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Explain the parallelogram of forces

Explain the parallelogram law for finding the resultant of two forces, with a labelled dia

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Explain the triangle of forces method

Explain how the triangle of forces method finds a resultant, and compare it with the paral

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Explain the meaning of a probability distribution

I am in SS 3. Explain what a probability distribution is and how it differs from a single

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Explain the polygon of forces

I am in SS 3. Explain what the polygon of forces method is and how it shows several concur

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Explain the difference between speed and velocity in mechanics

I am in SS 3. Explain the difference between speed and velocity, and between distance and

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Spot my mistake finding a vector cross product

I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about

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

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