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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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712 prompts matching "Finding which term of a sequence equals a given value"

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

Explain completing the square back to me

Act as my SS2 Further Maths tutor. I'll explain the completing the square method back to y

Why does completing the square work

Act as my SS2 Further Maths tutor. Explain to me why the completing the square method work

Derive the quadratic formula

Act as my SS2 Further Maths tutor. Show me, step by step, how to derive the quadratic form

Why simultaneous linear-quadratic systems can have two solutions

Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi

Worked example: is this line tangent to this curve

Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's

Quiz me on line and curve intersection conditions

Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and

Worked example: subtracting two polynomials

Act as my SS2 Further Maths tutor. Show me a full worked example of subtracting one polyno

Explain polynomial addition back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to add and subtract po

Worked example: dividing a cubic by a linear polynomial

Act as my SS2 Further Maths tutor. Show me a complete worked example of dividing a cubic p

Quiz me on polynomial division by a quadratic divisor

Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di

Explain polynomial long division back to me

Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back

Divide a polynomial by a quadratic

Act as my SS2 Further Maths tutor. Show me a worked example of dividing a polynomial of de

Use the remainder theorem on x^3 - 2x^2 + 3x - 4 divided by x - 1

Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t

Use the remainder theorem on 2x^3 + x^2 - 5x + 2 divided by x + 2

Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t

Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1

Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t

Use the remainder theorem on x^3 - 6x^2 + 11x - 6 divided by x - 2

Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t

Worked example: using the factor theorem to factorise a cubic

Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor

Spot my mistake solving a cubic equation

Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t

Teach me what a proposition is

Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an

Quiz me on identifying propositions

Act as my SS2 Further Maths tutor. Quiz me by giving me five sentences and asking me to id

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