Factorise: x 2 - 1 + 2 x + 2

We need to factorise x 2 - 1 + 2 x + 2 . We know that x 2 + a + b x + a b = x + a x + b x 2 - 1 + 2 x + 2 = x 2 - x - 2 x + 2 = x x - 1 - 2 x - 1 = x - 1 x - 2 Therefore, x 2 - 1 + 2 x + 2 = x - 1 x - 2

Factorise: 2 x 2 + 7 x + 5 2

We need to factorise 2 x 2 + 7 x + 5 2 . Split the middle term of 2 x 2 + 7 x + 5 2 as 7 x = a x + b x such that a b = 2 × 5 2 = 10 . So, we have 2 x 2 + 7 x + 5 2 = 2 x 2 + 2 x + 5 x + 5 2 = 2 x x + 2 + 5 x + 2 = x + 2 2 x + 5 Therefore, 2 x 2 + 7 x + 5 2 = x + 2 2 x + 5

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CBSE Syllabus Standard Mathematics for Class IX>Chapter 2 - Polynomials>Exercise 2.5

M L Aggarwal Solutions for Chapter: Polynomials, Exercise 5: Exercise 2.5

Author:M L Aggarwal

M L Aggarwal Mathematics Solutions for Exercise - M L Aggarwal Solutions for Chapter: Polynomials, Exercise 5: Exercise 2.5

Attempt the practice questions on Chapter 2: Polynomials, Exercise 5: Exercise 2.5 with hints and solutions to strengthen your understanding. CBSE Syllabus Standard Mathematics for Class IX solutions are prepared by Experienced Embibe Experts.