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Factorisation and Factors Video Lecture | Mathematics for Super TET
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FAQs on Factorisation and Factors Video Lecture - Mathematics for Super TET
| 1. What is factorisation? |  |
Ans. Factorisation is the process of expressing a number or an algebraic expression as a product of its factors. Factors are the numbers or expressions that, when multiplied together, result in the given number or expression.
| 2. How do you factorise a quadratic expression? | |
Ans. To factorise a quadratic expression, we use the method of splitting the middle term. We look for two numbers that multiply to give the product of the coefficient of the squared term and the constant term, and also add up to give the coefficient of the middle term. By factoring the quadratic expression in this way, we can express it as a product of two binomial expressions.
| 3. What is the difference between prime and composite factors? | |
Ans. Prime factors are the factors of a number that are prime numbers, meaning they are only divisible by 1 and themselves. For example, the prime factors of 12 are 2 and 3. On the other hand, composite factors are factors that are not prime numbers. In the case of 12, the composite factors are 4 and 6.
| 4. Can every number be factorised? | |
Ans. Yes, every number can be factorised. However, the factorisation may differ depending on whether the number is a prime or composite number. Prime numbers have only two factors, 1 and the number itself, so their factorisation is simple. Composite numbers have more than two factors and can be factorised into a product of prime factors.
| 5. What are the practical applications of factorisation? | |
Ans. Factorisation has several practical applications in various fields. In mathematics, factorisation is used in solving equations, simplifying algebraic expressions, and finding common factors. It is also used in cryptography for encryption and decryption algorithms. In physics and engineering, factorisation is used in solving complex equations and analyzing systems with multiple variables. Additionally, factorisation is used in economics for analyzing market trends and predicting future outcomes.
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Nov 21, 2024 Last updated |
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