Question

x^2-5x+4 factorise the following​

Answer 1

Answer:

(x+ 1) (x- 4)

Step-by-step explanation:

x²- 5x + 4

⇒ x²-4x-1x +4     {Using identity (x+ a) (x+ b) =x²+(a+ b)x+ ab }

⇒ x( x- 4) +1(x- 4)

⇒ (x+ 1) (x- 4)

Answer 2

Answer:

$x^2-5x+4 = (x - 4) ( x- 1)$

Step-by-step explanation:

Given: $x^2-5x+4$

Find two numbers whose product is +4 and sum is -5.

The number are -4 and -1

So,

x^2 - 5x + 4

= x^2 - 4x -1x + 4

= x (x -4) - 1 (x - 4)

= (x - 4) ( x- 1)