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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,045 prompts matching "Structured question: combination problem with 'at least' condition"

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

Complete the square for 3x^2 + 6x - 2 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3x^2 + 6x - 2 = 0 by

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

Spot my mistake completing the square

Act as my SS2 Further Maths tutor. I tried to complete the square for x^2+6x+5=0 but I thi

Why does completing the square work

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

Explain sum and product of roots back to me

Act as my SS2 Further Maths tutor. I'll explain the sum and product of roots formulas back

Explain substitution method back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to use the substitutio

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

Find the value of k for a line to be tangent to a curve

Act as my SS2 Further Maths tutor. Teach me how to find an unknown constant k in a line's

Worked example: adding two polynomials

Act as my SS2 Further Maths tutor. Show me a full worked example of adding two polynomials

Spot my mistake adding polynomials

Act as my SS2 Further Maths tutor. I added two polynomials together but I think I mismatch

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

Spot my mistake in polynomial long division

Act as my SS2 Further Maths tutor. I divided a cubic polynomial by a linear one using long

Explain polynomial long division back to me

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

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 using the remainder theorem

Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I

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