A-Level Further Maths D2-14 Roots of Polynomials: Substitution Method for Quadratics

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Hi sir how would you go about finding the original equation given the equation with transformed roots( for example, an equation has roots 2a-1 and 2b-1, find the equation with roots a and b)

joeclayton
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Some questions ask to use a specific substitution and find particular values in the equation, can you please demonstrate how to do those?

moodymonstrosity