H.C.F of \( \left(x^{2}-3 x+2\right) \) and \( \left(x^{2}-4 x+3\right) \)
H.C.F of \( \left(x^{2}-3 x+2\right) \) and \( \left(x^{2}-4 x+3\right) \) is
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x2 −3x+2=x 2 −2x−x+2
x(x−2)−1(x−2)=(x−2)(x−1)
Now
x2 −4x+3=x 2 −3x−x+3
x(x−3)−1(x−3)=(x−3)(x−1)
Thus, the only common factor is (x-1)
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