1,045 prompts matching "The difference of two squares applied to surd conjugates"
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Quiz: Completing the square on x squared plus 6x
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Practice: Working through a quadratic by completing the square, step by step
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Spot My Mistake: Completing the square when the roots are not real
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Quiz: A negative value of b in the quadratic formula
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Learn: The sum of the roots as minus b over a
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Worked Example: The product of the roots as c over a
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Common Mistakes: Roots that are reciprocals of one another
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Spot My Mistake: The value of alpha over beta plus beta over alpha
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Learn: Making one unknown the subject of the linear equation
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Practice: Finding the matching value of the second unknown
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Spot My Mistake: Finding the values of c for which a line is a tangent
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Worked Example: The degree of a polynomial in one variable
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Learn: Setting out the division of a cubic by a linear expression
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Common Mistakes: The degree of the quotient and of the remainder
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Final Revision: Writing the result of a polynomial division out in full
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Learn: The statement of the remainder theorem
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Worked Example: Testing a list of candidates to find a factor
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Practice: Showing that x plus 3 is a factor of a given polynomial
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