x^3 - 2x^2 - x + 2 ÷ x - 1
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−1)(x+1)(x−2). Explanation: x3−2x2−x+2. =x3−x −2x2+2. Grouping the 1st 2 terms together and the 2nd 2 together: =x(x2 −1)−2(x2−1). =(x2−1)(x−2). Using the identity: a2−b2=(a+b)(a−b).
=(x−1)(x+1)(x−2) Explanation: x3−2x2−x+2 =x3−x−2x2+2 Grouping the 1st 2 terms together and the 2nd 2 together: =x(x2−1)−2(x2−1) ... More
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Questoin 5. Factorise : (i) x3 - 2x2 - x + 2 (
Questoin 5. Factorise : (i) x3 - 2x2 - x + 2 (ii) x3 - 3x2 - 9x - 5 (iii) x3 + 13x2 + 32x + 20 (iv) 2y3 + y2 - 2y - 1. Solution: (i) x3 - 2x2 - x + 2. Solution (i) Let take f(x) = x3 - 2x2 - x + 2. The constant term in f(x) is are ±1 and ±2
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(x-1) (x-2)
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