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Find the HCF of the polynomials P(x)=24(6x^{4}-x^{3}-2x^{2}) and Q(x)=20(2x^{6}+3x^{5}+x^{4}).

P(x) = 24 * x^2 (6x^2 - x - 2) = 24 * x^2 * (3x - 2)(2x + 1)

Q(x) = 20 * x^4 (2 x^2 + 3 x + 1) = 20 * x^4 * (x +1)(2x + 1)

For numerical values 24 and 20 H C F is 4 since 24 = 4*6 and 20 = 4*5

And with the factors we have x^2 (2x + 1) are the highest common factors

Hence required answer :

**4 x^2 (2x + 1)**

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