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Examples Related to Division of a Polynomial Video Lecture | Mathematics (Maths) Class 8

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FAQs on Examples Related to Division of a Polynomial Video Lecture - Mathematics (Maths) Class 8

1. What is a polynomial division?
Ans. Polynomial division is the process of dividing one polynomial by another polynomial to find the quotient and remainder.
2. How do you divide a polynomial by a monomial?
Ans. To divide a polynomial by a monomial, you divide each term of the polynomial by the monomial.
3. Can you explain the long division method for dividing polynomials?
Ans. In the long division method for dividing polynomials, you divide the leading term of the dividend by the leading term of the divisor, multiply the divisor by the quotient, subtract this product from the dividend, and repeat the process until you obtain a remainder with a lower degree than the divisor.
4. What is the difference between synthetic division and long division for polynomial division?
Ans. Synthetic division is a quicker and more efficient method for dividing polynomials when the divisor is in the form of x - k. Long division, on the other hand, is a more general method that can be used for any divisor.
5. How do you know if a polynomial is divisible by another polynomial?
Ans. A polynomial is divisible by another polynomial if the remainder of the division is zero, meaning that the divisor is a factor of the dividend polynomial.
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