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Further Mathematics

AI prompts for senior secondary learners.

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1,206 prompts matching "Factorising a cubic into a linear and a quadratic factor"

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: A quadratic whose roots are 2 plus i and 2 minus i

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

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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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Resolve a force into horizontal and vertical components #1

Give me a resolution of forces problem with a force of 10N acting at 30 degrees to the hor

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Resolve a force into horizontal and vertical components #2

Give me a resolution of forces problem with a force of 25N acting at 50 degrees above the

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Resolve a force into horizontal and vertical components #3

I am in SS 3. Give me a resolution of forces problem with a force of 18N at 40 degrees to

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Resolve a force into horizontal and vertical components #4

I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to

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Worked example: finding the matrix of cofactors and the adjugate

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the ma

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Show all working: complex numbers and quadratics combined

I am in SS 3. Give me a Cambridge Additional Mathematics style question that starts with a

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Quiz: The factor theorem, and testing whether x minus a is a factor

Act as my SS3 Further Mathematics tutor and quiz me on the factor theorem, and testing whe

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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative

You are my personal SS3 Further Mathematics tutor. Teach me solving a linear inequality, a

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Learn: The meaning of n factorial, and how to evaluate it

You are my personal SS3 Further Mathematics tutor. Teach me the meaning of n factorial, an

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Learn: Angular velocity, and how it relates to linear speed

You are my personal SS3 Further Mathematics tutor. Teach me angular velocity, and how it r

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Show that (1,2), (3,6), and (5,10) are collinear

I am in SS 3. Give me the 'show that' question: show that the points (1,2), (3,6), and (5,

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Show that command word: three points are collinear

I am in SS 3. Set me a 'show that' coordinate geometry question where I must show three gi

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Worked example: fully factorise x^3 - 7x + 6

I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely

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Structured question: fully factorise x^3 - 2x^2 - 5x + 6

I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest

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Structured question: fully factorise x^3 + 4x^2 - 11x - 30

I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi

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Structured question: unknown coefficient from a factor condition

I am in SS 3. Give me a structured polynomial question where (x+1) is a known factor of a

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Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4

I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and

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Structured question: find k so a cubic has a repeated root

I am in SS 3. Set me a structured question where a cubic contains an unknown k, and I must

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