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Factor x 3 – 6 x 2 + 5 x + 12?

Factor x 3 – 6 x 2 + 5 x + 12?   Ans:- ⇒ ( x + 1 ) ( x − 3 ) ( x − 4 ) Factors are  x = − 1 , 3 , 4 Explanation: ( x 3 − 6 x 2 + 5 x + 12 ) Since the sum of the coefficients of the terms is zero,  x + 1  is a factor. Using synthetic division, a a a − 1 a a a ∣ a a a 1 a a a − 6 a a a 5 a a a 12 a a a a a a a a a ∣ a a a ⏐ ↓ a a − 1 a a a 7 a − 12 a a a a a a a a a ∣ … … … … … … … … … a a a a a a a a a a a a a a 1 a a a − 7 a a a 12 a a a 0 ⇒ ( x + 1 ) ( x 2 − 7 x + 12 ) ⇒ ( x + 1 ) ( x 2 − 3 x − 4 x + 12 ) ⇒ ( x + 1 ) ( x ( x − 3 ) − 4 ( x − 3 ) ) ⇒ ( x + 1 ) ( x − 3 ) ( x − 4 ) Factors are  x = − 1 , 3 , 4
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LAW CA FOUNDATION

Question: A student was induced by his teacher to sell his brand new car to the latter at less than the Purchase price to secure more marks in the examination. Accordingly, the car was sold. However, the father of the student persuaded him to see his teacher. Whether the student can sue the teacher..? Answer: •  Yes, A can sue his teacher on the ground of undue influence under the provisions of the Indian Contract Act, 1872.  • According to section 16 of the Indian Contract Act, 1872, “A contract is said to be induced by ‘undue influence’ where the relations subsisting between the parties are such that one of the parties is in a position to dominate the will of the other and he uses that position to obtain an unfair advantage over the other”.  • A person is deemed to be in a position to dominate the will of another: • (a) Where he holds a real or apparent authority over the other; or  • (b) Where he stands in a fiduciary relationship to the other; or  • (c) W...
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