1,329 prompts matching "IGCSE Additional Maths Y10: An exact answer left in surd form — Worked Example"
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Learn: The sum and the product of the roots read from the coefficients
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Worked Example: The discriminant, and what each of its three cases means
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Learn: Finding alpha squared plus beta squared from the sum and product
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Practice: Finding alpha minus beta from the sum and the product
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding alpha
Learn: The degree of a polynomial and its leading coefficient
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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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Learn: Solving a linear inequality, and reversing the sign on dividing by a negative
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Practice: Solving an inequality with the unknown in the denominator
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Common Mistakes: The range of values of x for which an expression stays positive
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Final Revision: The region of the plane satisfying a set of linear inequalities
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Learn: The meaning of n factorial, and how to evaluate it
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Worked Example: The number of arrangements of n different objects in a row
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Practice: Arrangements when some of the objects are identical
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Common Mistakes: Arrangements restricted at the first or the last place
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Final Revision: Counting the number plates or codes that can be formed under a rule
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Learn: The meaning of n choose r, and how to evaluate it
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Worked Example: The difference between a permutation and a combination
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Final Revision: Combinations used with the addition and multiplication principles
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Learn: The Pythagorean identity, sin squared plus cos squared equals one
You are my personal SS3 Further Mathematics tutor. Teach me the Pythagorean identity, sin