Question

hcf of (x³ - 3x + 2) and (x² - 4x + 3)???​

Answer 1

Answer: x-1

Step-by-step explanation:

(x³-3x+2)=(x³-1-3x+3)

              =(x-1)(x²+x+1)-3(x-1)

              =(x-1)(x²+x+1-3)

               =(x-1)(x²+x-2)

              =(x-1)(x+2)(x-1)

              =(x-1)²(x+2)

(x²-4x+3)=(x²-x-3x+3)

              =x(x-1)-3(x-1)

              =(x-1)(x-3)

   Common factor=x-1

Thus HCF is x-1