Class 10 Exam > Class 10 Videos > 05 - Long Division for Polynomials - Class 10 - Maths
05 - Long Division for Polynomials - Class 10 - Maths Video Lecture
FAQs on 05 - Long Division for Polynomials - Class 10 - Maths Video Lecture
| 1. What is long division for polynomials? |  |
Ans. Long division for polynomials is a method used to divide one polynomial by another. It is similar to long division for numbers, but instead of dividing numbers, we divide polynomials.
| 2. How does long division for polynomials work? | |
Ans. To perform long division with polynomials, we divide the terms of the dividend (the polynomial being divided) by the first term of the divisor (the polynomial we are dividing by). We then multiply the quotient by the entire divisor, subtract it from the dividend, and bring down the next term. This process is repeated until we cannot divide any further.
| 3. What is the purpose of long division for polynomials? | |
Ans. The purpose of long division for polynomials is to find the quotient and remainder when dividing one polynomial by another. It helps simplify expressions and solve polynomial equations.
| 4. Can long division for polynomials be used to factorize polynomials? | |
Ans. Yes, long division for polynomials can be used to factorize polynomials. If the divisor is a factor of the dividend, the remainder will be zero, indicating that the divisor is a factor of the polynomial. This can help in finding the factors of a given polynomial.
| 5. Are there any specific steps to follow in long division for polynomials? | |
Ans. Yes, there are specific steps to follow in long division for polynomials. They include dividing the terms, multiplying the quotient by the entire divisor, subtracting the result from the dividend, bringing down the next term, and repeating the process until we cannot divide any further. These steps ensure systematic and accurate division of polynomials.
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Dec 23, 2024 Last updated |
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