Class 9 Maths NCERT Solutions Chapter 2: Polynomial is developed and witten by our expert teachers. Students can study our solutions of Chapter 2: Polynomial class 9 Maths, Question 1. Determine which of the following polynomials has (x + 1) a factor : (i) x3 + x3 + x + 1 (ii) x4 + x3 + x3 + x + 1 (iii) x4 + 3x3 + 3x3 + x + 1 (iv) x3 – x3 – (2+√2)x + √2, Question 2. Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2x3 + x2 – 2x – 1, g(x) = x + 1 (ii) p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2 (iii) p(x) =, Question 3. Find the value of k, if x – 1 is a factor of p(x) in each of the following cases: (i) p(x) = x2 + x + k (ii) p(x) = 2x2 + kx + √2 (iii) p(x) = kx2 – 2x + 1 (iv) p(x) = kx2 – 3x + k, Question 4. Factorise : (i) 12x2 – 7x + 1 (ii) 2x2 + 7x + 3 (iii) 6x2 + 5x – 6 (iv) 3x2 – x – 4, Questoin 5. Factorise : (i) x3 - 2x2 - x + 2 (ii) x3 - 3x2 - 9x - 5 (iii) x3 + 13x2 + 32x + 20 (iv) 2y3 + y2 - 2y - 1.
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