Question

find HCF of x cube - 3 X + 2 and x square - 4 x + 3

Answer 1

Solution:

Factorizing 4x2 - 9y2, we get

(2x)2 - (3y)2, by using the identities of a2 - b2. 

= (2x + 3y) (2x - 3y)

 
Also, factorizing 2x2 – 3xy by taking the common factor 'x', we get 

= x(2x – 3y)

Therefore, H.C.F. of the polynomial 4x2 - 9y2 and 2x2 – 3xy is (2x - 3y).
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