Question

factorise 1.)x³-5x²-x+5​

Answer 1

Answer:

(x - 5)(x - 1)(x + 1) are the factors of x³- 5x²- x + 5

Step-by-step explanation:

Given equation is x³-5x²-x+5​

We need to factorise this

Step 1 : Taking common

From the first two terms that is x³-5x², we take take x² common as it   is common to both.

=> x³-5x²-x+5​ = x²(x - 5) - x + 5

We take -1 common from the last two terms that is​ -x+5

            x²(x - 5) - 1( x - 5)

Taking x-5 common, we get

      (x - 5) (x² - 1)

We know that a² - b² = (a - b)(a + b)

Here, let a = x and b = 1

=> x² - 1 = (x - 1)(x + 1)

Therefore,  (x - 5)(x - 1)(x + 1) are the factors of x³- 5x²- x + 5