Question

find HCF of(x square-3x+2)and(x square-4x+3)​

Answer 1

We first find the factors of the given polynomials by the method of factorization

x²-3x+2

x²-2x-x+2

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

(x-1)(x-2)

and

x²-4x+3

x²-3x-x+3

x(x-3)-1(x-3)

(x-1)(x-3)

Thus, the only common factor is (x - 1)

Therefore, HCF of x²-3x+2 ànd x²-4x+3 is (x-1)