generic · 12th TN - English Medium · MATHEMATICS-VOLUME 1 · Page 126question

3.8.1 Rational Root Theorem

Chapter 3: Chapter 3 · MATHEMATICS-VOLUME 1 · EN medium

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We can find a few roots of some polynomial equations by trial and error method. For instance, we consider the equation = ... ( ) This is a third degree equation which cannot be solved by any method so far we discussed in this chapter. If we denote the polynomial in ( ) as P x ( ), then we see that P ( ) which says that x − is a factor. As the rest of the problem of solving the equation is easy, we leave it as an exercise.

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 126

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We can find a few roots of some polynomial equations by trial and error method. For instance, we consider the equation = ... ( ) This is a third degree equation which cannot be solved by any method so far we discussed in this chapter. If we denote the polynomial in ( ) as P x ( ), then we see that P ( ) which says that x − is a factor.

As the rest of the problem of solving the equation is easy, we leave it as an exercise.

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