1,083 prompts matching "IGCSE Additional Maths Y10: A surd answer arising from Pythagoras' theorem — Pra"
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Final Revision: Proving that root 2 is irrational
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Learn: The multiplication and division laws of indices used together
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Explain Back: The laws of logarithms for a product and for a quotient
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Common Mistakes: Solving an exponential equation using logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Worked Example: The discriminant, and what each of its three cases means
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Explain Back: The range of values of k for which the roots are real
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Final Revision: Solving a disguised quadratic by substitution
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Worked Example: Finding one over alpha plus one over beta
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Explain Back: Finding alpha squared beta plus alpha beta squared
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Learn: The degree of a polynomial and its leading coefficient
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Worked Example: Evaluating a polynomial by substitution
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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Worked Example: The sum of the products of the roots of a cubic taken two at a time
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Explain Back: Forming a cubic equation whose three roots are given
I have just studied forming a cubic equation whose three roots are given in my SS3 Further