1,045 prompts matching "The hyperbola in standard form, and its asymptotes"
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Explain the difference between remainder and factor theorem
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between the
Create a revision plan for polynomials and the remainder/factor theorems
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Give me common mistakes students make in 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: find the modulus and argument of 3+4i
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Worked example: expand (x+2)^5 fully using the binomial theorem
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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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Structured question: solve a quadratic inequality and state the range
I am in SS 2. Give me a structured Cambridge Additional Maths question asking me to solve
Find the range of values command word: quadratic inequality
I am in SS 2. Set me an exam question phrased 'find the range of values of x for which...'
Explain Back: The zero product rule, and why it works
I have just studied the zero product rule, and why it works in my SS2 Further Mathematics
Worked Example: Halving the coefficient of x and squaring it
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Explain Back: An answer left in surd form after completing the square
I have just studied an answer left in surd form after completing the square in my SS2 Furt
Explain Back: Leaving the roots of a quadratic in surd form
I have just studied leaving the roots of a quadratic in surd form in my SS2 Further Mathem
Quiz: Finding the sum and the product without solving the equation
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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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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
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Common Mistakes: A line and a curve meeting once without the line being a tangent
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Quiz: The leading term and the constant term
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