Question

factorise x^3-2x^2-x+2


please answer me first and in the form of book written please if written I'll mark u brainliest iam new so i dont know how mark so u should only help me​

Answer 1

Step-by-step explanation:

A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation.

A polynomial can be written as the product of its factors having a degree less than or equal to the original polynomial.

The process of factoring is called factorization of polynomials.

Given that x3 – 2x2 – x + 2

Grouping the 1st and 3nd terms together and the 2nd and 4th term together:

= x(x2 – 1) – 2(x2 – 1)

x3 – 2x2 – x + 2 = (x2 – 1) (x – 2)

Using the identity: a2 − b2 = (a + b) (a- b)

∴ (x2 – 1) = (x + 1)(x – 1)

= (x – 1) (x + 1) (x- 2)

∴ answer is (x – 1) (x + 1) (x- 2)