Five mark exercise problem - III — task. Mathematics State Board, Class 10.

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Find the GCD of each pair of the following polynomials.

(i)

12 (x^{4} - x^{3})

8 (x^{4} - {3 x}^{3} + {2 x}^{2})

whose LCM is

24 x^{3} (x - 1) (x - 2)

Answer:

The GCD of the given polynomials is

(ii)

(x^{3} + y^{3})

(x^{4} + x^{2} y^{2} + y^{4})

whose LCM is

(x^{3} + y^{3}) (x^{2} + xy + y^{2})

Answer:

The GCD is:

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8. Five mark exercise problem - III