Find the H.C.F of following polynomials:
$10 (x^{2} - 1)$ and $15 {(x + 1)}^{4} (2 x + 3)$

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Solution

The first polynomial can be factorized as $10 (x - 1) (x + 1)$ and the next polynomial can be factorized as $15 (x + 1) (x + 1)^{3} (2 x + 3)$ . Hence the highest common factor is $(x + 1)$ .

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