1,334 prompts matching "An answer left in surd form after completing the square"
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Final Revision: The power set, and how many subsets a set of n elements has
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Common Mistakes: Solving an equation in which the unknown sits under a root
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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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Common Mistakes: Solving an exponential equation using logarithms
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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
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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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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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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