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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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91 prompts matching "Simplifying a complex algebraic fraction"

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

WAEC Prep: The square roots of a complex number

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the square roots o

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WAEC Prep: The n nth roots of a complex number

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Quiz: The roots of a complex number shown on an Argand diagram

Act as my SS3 Further Mathematics tutor and quiz me on the roots of a complex number shown

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WAEC Prep: The sum and product of a pair of complex roots

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the sum and produc

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

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro

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Explain Back: Forming a quadratic equation with given complex roots

I have just studied forming a quadratic equation with given complex roots in my SS3 Furthe

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WAEC Prep: Differentiating a polynomial with a fractional index

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through differentiating a

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WAEC Prep: Simplifying the answer after using the quotient rule

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

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WAEC Prep: Splitting a fraction with two distinct linear factors

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Explain Back: Partial fractions with a repeated linear factor

I have just studied partial fractions with a repeated linear factor in my SS3 Further Math

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Spot My Mistake: Partial fractions with an irreducible quadratic factor

Act as my SS3 Further Mathematics tutor. Work a question on partial fractions with an irre

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Complex number arithmetic practice #1

I am in SS 3. Give me a complex number problem where z1 = 3 + 2i and z2 = 1 - 4i, find z1

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Complex number arithmetic practice #2

I am in SS 3. Give me a complex number problem where z1 = 2 - i and z2 = 4 + 3i, find z1 x

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Complex number arithmetic practice #3

I am in SS 3. Give me a complex number problem where z = 5 + 2i, find z divided by (1 - i)

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Complex number arithmetic practice #4

I am in SS 3. Give me a complex number problem where z = 3 - 4i, find the conjugate and th

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Complex number arithmetic practice #5

I am in SS 3. Give me a complex number problem where z1 = -2 + 3i and z2 = 1 + i, find z1

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Solve a quadratic equation with complex roots #1

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c

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Solve a quadratic equation with complex roots #2

I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0

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Teach me complex numbers from scratch

I am in SS 3. Teach me what a complex number is and why i is defined as the square root of

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Explain why a complex number times its conjugate is real

I have just studied why a complex number times its conjugate is real in my SS3 Further Mat

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