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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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1,044 prompts matching "A polynomial leaving the same remainder for two different divisors"

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 x^2 - 10x + 21 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 - 10x + 21 = 0 by

Complete the square for x^2 + 3x - 4 = 0

Act as my SS2 Further Maths tutor. Show me step by step how to solve x^2 + 3x - 4 = 0 by c

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

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

Give me a 5-minute recap of polynomial division

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of polynomial division,

Give me a 5-minute recap of differentiation

Act as my SS2 Further Maths tutor. Give me a quick 5-minute recap of differentiation, cove

Discriminant and the nature of roots

Act as my SS2 Further Maths tutor. Teach me how to use the discriminant b^2-4ac from the q

Teach me what a polynomial is

Act as my SS2 Further Maths tutor. Teach me the definition of a polynomial, including term

Quiz me on subtracting a polynomial written in a bracket

Act as my SS2 Further Mathematics tutor and quiz me on subtracting a polynomial written in

Spot my mistake adding polynomials

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

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

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

Quiz me on the inclusive sense of 'or' in a disjunction

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

Worked example: finding the gradient of a curve at a point

Act as my SS2 Further Maths tutor. Show me a full worked example of differentiating a poly

Quiz me on basic differentiation

Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di

Give me practice on differentiation and stationary points

Act as my SS2 Further Maths tutor. Give me six practice questions on differentiating polyn

Explain differentiation back to me

Act as my SS2 Further Maths tutor. I'll explain in my own words how to differentiate a pol

Spot my mistake multiplying a two by two matrix by a two by one matrix

Act as my SS2 Further Mathematics tutor. Work a question on multiplying a two by two matri

Worked example: differentiate y = 3x^4 - 2x^3 + x - 7

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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