Question

find hcf and lcm of x2-3x+2 and x2-4x+3

Answer 1

Solution:

Let p(x) = x²-3x+2

= x²-1x-2x+2

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

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

Let g(x) = x²-4x+3

=x²-1x-3x+3

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

=(x-1)(x-3) ----(2)

Now ,

HCF of p(x) and g(x) = (x-1)

LCM of p(x) and g(x)

= (x-1)(x-2)(x-3)

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