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Proof of Remainder Theorem (Old Syllabus) Video Lecture | Crash Course: Class 9

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FAQs on Proof of Remainder Theorem (Old Syllabus) Video Lecture - Crash Course: Class 9

1. What is the Remainder Theorem?
Ans. The Remainder Theorem states that if a polynomial f(x) is divided by x - c, then the remainder is equal to f(c). In other words, if we substitute the value c into the polynomial, the resulting value will be the same as the remainder when the polynomial is divided by x - c.
2. How is the Remainder Theorem used to find remainders?
Ans. To find the remainder when a polynomial is divided by x - c, we can simply substitute the value c into the polynomial and evaluate it. The resulting value will be the remainder.
3. Can the Remainder Theorem be used to find the quotient as well?
Ans. No, the Remainder Theorem only provides a way to find the remainder when a polynomial is divided by x - c. To find the quotient, we need to use polynomial long division or synthetic division.
4. What is the significance of the Remainder Theorem?
Ans. The Remainder Theorem is useful in various applications of polynomials. It can be used to determine whether a given value is a root of a polynomial, to find the remainders without performing long divisions, and to solve problems related to polynomial functions.
5. Can the Remainder Theorem be applied to all polynomials?
Ans. The Remainder Theorem can be applied to all polynomials, whether they are linear, quadratic, cubic, or of higher degree. However, it is important to note that the divisor must always be in the form of x - c, where c is a constant.
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