Question

Factorize: x²- 5x +4

Answer 1

Factorise

X^2-4x-x+4

Taking common

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

=(x-1) (x-4)

Answer 2

The factors are (x-4)(x-1).

Given:

x²- 5x +4

To Find:

We are required to factorize the given quadratic equation.

Solution:

We can factorize the given quadratic equation by splitting the middle term method.

The quadratic equation is x²- 5x +4.

The middle term (-5x) can be split as (-4x-1x) substitute in the given quadratic equation

x²- 5x +4 = x²-4x-x+4

On taking x as common in the first two terms of the above equation we get

x²- 5x +4 = x(x-4)-(x-4)

Now taking (x-4) as common in the above equation we get

x²- 5x +4 = (x-4)(x-1)

Hence factorized and the factors are (x-4)(x-1).

#SPJ2