1,044 prompts matching "Finding a coefficient given a stated relation between the roots"
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Explain the difference between remainder and factor theorem
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Worked example: finding the middle term of a binomial expansion
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Teach me the finding the modulus of a complex number
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Worked example: find the distance between the points (1,2) and (4,6)
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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7
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Non-calculator completing the square with fractional coefficients
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Find the value of k: quadratic with equal roots
Set me an Additional Maths exam question of the type 'find the value of k for which the eq
Explain back: completing the square when the coefficient of x squared is not one
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Common Mistakes: Writing down the roots once the brackets are found
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Learn: Making the coefficient of x squared equal to one first
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Worked Example: Halving the coefficient of x and squaring it
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Spot My Mistake: Completing the square when the roots are not real
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Show All Working: Completing the square with a fractional coefficient of x
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Practice: Giving the roots correct to two decimal places
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Explain Back: Leaving the roots of a quadratic in surd form
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Show All Working: Choosing between factorising and the formula
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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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