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Completing the Square to Show Factoring

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In week 3 we said x2 + x + 1 = 0 is a prime polynomial because we cannot find two factors of the product as such that their sum is equal to b. Well, this week we are learning about Completing the Square. Use the Completing the Square and show that x2 + x + 1 = 0 can be factored.

Due day 4,
From DQ#1, you should have shown that
x2 + x + 1 = 0 can be expressed as (x - i)(x + i) = 0 where i is an imaginary number.
How would you change (redefine) the definition of "prime polynomial" now?

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Solution Summary

Completing the square is investigated.

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