I'm having trouble multiplying out the conjugates to obtain a quadratic for the following. Both quadratics should multiply to the polynomial when finished...any help??

second pair:

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- July 22nd 2006, 04:48 PMharoldComplex Roots/Multiplication
I'm having trouble multiplying out the conjugates to obtain a quadratic for the following. Both quadratics should multiply to the polynomial when finished...any help??

second pair:

- July 22nd 2006, 06:14 PMThePerfectHacker
Remember that,

Given,

When expanded,

Note, (and watch those signs :eek: ) that,

In the conjugate,

When expanded,

Note, (and watch those signs :eek: ) that,

Thus,

And,

- July 23rd 2006, 09:44 AMSoroban
Hello, harold!

Recall that: .

Quote:

Both quadratics should multiply to the polynomial when finished.

First pair: .

Second pair: .

Note that: .and

First pair: .

. .

. .

. .

. .

. .

Similarly, the second pair becomes: .

We have: .

. .

. .

. .

. .

. .*. . . ta-DAA!*