Coaching Centre
Chapter 10: Logarithms and polynomials Notes
Extension: logarithms and their laws, solving exponential equations with logarithms, polynomial language, evaluating and dividing polynomials, and the remainder and factor theorems.
Sections
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10A Logarithms Mastered
The definition of a logarithm, converting between index and logarithmic form, evaluating logarithms and solving simple log equations.
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10B Logarithm laws and exponential equations Mastered
The product, quotient and power laws for logarithms, simplifying log expressions, and solving exponential equations using logarithms.
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10C Polynomials and division Mastered
Polynomial language (degree, leading coefficient, constant term), evaluating P(a), adding and multiplying polynomials, and long division by a linear factor.
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10D The remainder and factor theorems Mastered
The remainder theorem P(a) as the remainder on division by x â a, the factor theorem, factorising cubics and solving polynomial equations.