1,315 prompts matching "Expanding a bracket with a coefficient on x"
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Explain Back: Finding the identity element of a binary operation
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Show All Working: Solving an equation written in terms of a binary operation
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Practice: Rationalising a denominator of the form root a
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Explain Back: Rationalising a denominator of the form a plus root b using the conjugate
I have just studied rationalising a denominator of the form a plus root b using the conjug
Common Mistakes: Solving an equation in which the unknown sits under a root
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Worked Example: Simplifying an expression carrying both a negative and a fractional index
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Practice: Converting between index form and logarithm form
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Show All Working: Solving a logarithmic equation and rejecting the invalid root
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Common Mistakes: Solving an exponential equation using logarithms
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Practice: The condition for a quadratic equation to have equal roots
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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Worked Example: Finding one over alpha plus one over beta
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Worked Example: Evaluating a polynomial by substitution
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Practice: Factorising a cubic completely once one factor is known
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Show All Working: Solving a cubic equation by factorisation
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Explain Back: Forming a cubic equation whose three roots are given
I have just studied forming a cubic equation whose three roots are given in my SS3 Further
Show All Working: Three roots in arithmetic progression in a cubic
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