Question

Find hcf of x^2-3x+2 and x^2-4x+3

Answer 1

Answer:

(x-1)

Step-by-step explanation:

$x^{2}$-3x+2

x^2-2x-x+2

x(x-2)-(x-2)

(x-1)(x-2)

$x^{2}$-4x+3

x^2-3x-x+3

x(x-3)-(x-3)

(x-1)(x-3)

from the above list of factors it is clearly seen that (x-1) is the common factor and hence the hcf