1,045 prompts matching "Why a rational number added to an irrational one stays irrational"
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Create a revision plan for complex numbers
Act as my SS2 Further Maths tutor. Help me create a short revision plan for complex number
Test me under exam conditions on polynomials and the remainder/factor theorems
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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Worked example: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'
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Show that command word: quadratic factorisation
I am in SS 2. Explain what the command word 'Show that' means in a Cambridge Additional Ma
Non-calculator paper: subtract polynomials and state the degree
Set me a non-calculator question where I subtract one polynomial from another, simplify, a
Learn: Factorising a quadratic whose coefficient of x squared is one
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Worked Example: Factorising a quadratic whose leading coefficient is not one
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Spot My Mistake: Solving a quadratic that must be rearranged before factorising
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Learn: Making the coefficient of x squared equal to one first
You are my personal SS2 Further Mathematics tutor. Teach me making the coefficient of x sq
Worked Example: Substituting a, b and c into the quadratic formula correctly
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Common Mistakes: Roots that are reciprocals of one another
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Final Revision: One root twice the other, and what that gives
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Final Revision: Using a symmetric function to find an unknown coefficient
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Worked Example: Substituting into the quadratic and tidying up
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Spot My Mistake: A pair with equal roots, meaning one solution only
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Common Mistakes: Multiplying one polynomial by another
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Worked Example: Testing a list of candidates to find a factor
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