1,319 prompts matching "Practice: Finding the term independent of x"
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Worked Example: The discriminant, and what each of its three cases means
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Practice: The condition for a quadratic equation to have equal roots
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Explain Back: The range of values of k for which the roots are real
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Learn: Finding alpha squared plus beta squared from the sum and product
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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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Explain Back: Finding an unknown coefficient given that a stated factor divides the polynomial
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Final Revision: The zeros of a polynomial and where its graph cuts the x-axis
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Learn: The sum of the roots of a cubic read from its coefficients
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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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Quiz: The product of the roots of a cubic
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Practice: Solving an inequality with the unknown in the denominator
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Spot My Mistake: Showing the solution of an inequality on a number line
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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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Quiz: The number of arrangements of r objects chosen from n
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