1,045 prompts matching "Restricting the domain so an inverse exists"
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Common Mistakes: Checking a completed square by expanding it again
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Learn: Deriving the quadratic formula by completing the square
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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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Learn: Making one unknown the subject of the linear equation
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WAEC Prep: A pair that gives no real solution at all
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Final Revision: Checking both solutions in both equations
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Learn: Forming the quadratic that decides where a line meets a curve
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Learn: What makes an expression a polynomial
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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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Worked Example: The division algorithm for polynomials
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Learn: The statement of the remainder theorem
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Worked Example: The remainder on dividing by x minus 3
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Common Mistakes: The remainder theorem applied to a quartic
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Learn: The statement of the factor theorem
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Worked Example: Testing a list of candidates to find a factor
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Common Mistakes: Using the factor theorem before dividing
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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