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Video: Factorisation of Polynomials Video Lecture - Class 9
FAQs on Video: Factorisation of Polynomials Video Lecture - Class 9
| 1. What is factorisation of polynomials? |  |
Ans. Factorisation of polynomials is the process of expressing a polynomial as a product of its factors. It involves breaking down a polynomial into simpler expressions that can be multiplied together to obtain the original polynomial.
| 2. Why is factorisation of polynomials important? | |
Ans. Factorisation of polynomials is important because it helps in simplifying complex expressions, solving equations, and finding the roots of a polynomial. It also allows us to identify common factors, which can be useful in various mathematical applications.
| 3. How can we factorise a quadratic polynomial? | |
Ans. To factorise a quadratic polynomial, we can use various methods such as the method of splitting the middle term, completing the square, or using the quadratic formula. These methods involve breaking down the quadratic expression into two binomial factors.
| 4. What is the difference between factorisation and expansion of polynomials? | |
Ans. Factorisation and expansion are two opposite processes involving polynomials. Factorisation involves breaking down a polynomial into its factors, while expansion involves multiplying out the factors to obtain the original polynomial. Factorisation simplifies the expression, whereas expansion expands the expression.
| 5. Can all polynomials be factorised? | |
Ans. No, not all polynomials can be factorised into simpler expressions. Some polynomials, known as irreducible polynomials, cannot be expressed as a product of simpler factors. However, most polynomials can be factorised using various methods and techniques.
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Dec 17, 2024 Last updated |
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