Factoring: Special Cases, Answer 3

Exercise 3.

Factor the polynomial

completely.

Solution.

We write

then use the formula

with and to obtain

The factorization is still not complete. While the polynomial is an irreducible quadratic polynomial, the polynomial can be factored, using the same formula again, this time with a=x and .

So the complete factorization is given by

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Helmut Knaust
Fri Jun 20 12:35:31 MDT 1997