Question

Factorise --- x²-3x+2

Answer 1

$given....... \\ x {}^{2} - 3x + 2 \\ x {}^{2} - 2x - x + 2 \\ x(x - 2) - 1(x - 2) \\ (x - 1)(x - 2) \\ x = 1 \: and \: 2$

Answer 2

=x^2-3x+2

We have to find two numbers whose addition or subtraction is 3x and multiplication is 2.

=so,it is 2x and x

=x^2-2x-x+2

Grouping first two and last two and finding common.

=x(x-2)-1(x-2)

=(x-1)(x-2)

So answer is (x-1)(x-2).