Notes and questions
Real numbers , polynomials, probability
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Chapter 1: Real Numbers Focuses on the Fundamental Theorem of Arithmetic, which states that every composite number can be uniquely expressed as a product of primes. It also covers the relationship between HCF and LCM (HCF × LCM = Product of two numbers) and the properties of rational and irrational numbers.
Chapter 2: Polynomials Explores the relationship between the zeroes and coefficients of a quadratic polynomial (ax2+bx+c), where the sum of zeroes is −b/a and the product is c/a. It also teaches how to form polynomials from given zeroes and interpret the number of zeroes from a graph based on its X-axis intersections.
Chapter 14: Probability Introduces the measurement of certainty for events. Key concepts include equally likely outcomes, the range of probability (0≤P(E)≤1), and complementary events (P(E)+P(not E)=1). It applies these to common scenarios like tossing coins, rolling dice, and drawing cards from a deck.
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