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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,323 prompts matching "The remainder theorem applied to a quartic"

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

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

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

Structured question: polynomial with a given remainder pattern

I am in SS 3. Give me a structured polynomial question where a cubic leaves stated remaind

Find the moment of a force about a point #1

I am in SS 3. Give me a moments problem with a force of 15N acting at a distance of 2m fro

Find the moment of a force about a point #2

I am in SS 3. Give me a moments problem with two forces of 10N and 6N acting at 3m and 5m

Find the moment of a force about a point #3

I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d

Find the moment of a force about a point #4

I am in SS 3. Give me a moments problem with a see-saw problem with two people of differen

Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

Simplifying algebraic fractions that need factorising a quadratic first

I am in SS 3. Quiz me with 4 short Additional Maths questions on simplifying an algebraic

Testing whether a relation is a function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on test

The vertical line test

I am in SS 3. I attempted an Additional Maths question on the vertical line test for decid

Showing that fg(x) is not the same as gf(x)

I am in SS 3. Quiz me with 5 short Additional Maths questions on demonstrating with a spec

Finding the inverse of a simple linear function

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

Finding the making x the subject of a fractional function

You are my SS3 Further Mathematics tutor. Teach me making x the subject of a fractional fu

Composite function leading to solving an equation

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on a qu

One-to-one versus many-to-one functions

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on the

Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

Finding f(x) given a description of the function rule

I am in SS 3. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Composite function with three functions applied in order

I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on find

Explaining function notation to a classmate

I am in SS 3. I'm going to explain explaining function notation and what f(x) really means

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