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Remainder theorem Video Lecture | Quantitative Aptitude for Competitive Exams - SSC MTS / SSC GD
FAQs on Remainder theorem Video Lecture - Quantitative Aptitude for Competitive Exams - SSC MTS / SSC GD
| 1. What is the remainder theorem? |  |
Ans. The remainder theorem states that when a polynomial function is divided by a linear factor (x - a), the remainder is equal to the value of the function evaluated at a.
| 2. How is the remainder theorem used in polynomial division? | |
Ans. The remainder theorem is used to find the remainder when a polynomial is divided by a linear factor. This can be helpful in simplifying polynomial expressions or determining if a certain value is a root of the polynomial.
| 3. Can the remainder be zero in the remainder theorem? | |
Ans. Yes, the remainder can be zero in the remainder theorem. If the value of the polynomial function evaluated at a certain value (x = a) is zero, then (x - a) is a factor of the polynomial and there is no remainder.
| 4. What is the significance of the remainder in polynomial division? | |
Ans. The remainder in polynomial division represents the part of the polynomial that cannot be divided evenly by the divisor. It provides information about the relationship between the dividend and divisor, and can be used to determine factors or roots of the polynomial.
| 5. How is the remainder theorem related to finding roots of polynomials? | |
Ans. The remainder theorem is closely related to finding roots of polynomials. If the remainder when a polynomial is divided by (x - a) is zero, then a is a root of the polynomial. This can be used to solve equations or determine the factors of a polynomial.
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