Find all the zeros of the function and write the polynomial as a product of linear factors.

f(x) = x^3 + 11x^2 + 39x + 29.

So I think that I might need to use synthetic division, but I'm not sure. The teacher didn't explian this to me. Any help?

:)

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- Sep 17th 2009, 07:55 AMtsmithHow to find the zeros of this function
Find all the zeros of the function and write the polynomial as a product of linear factors.

f(x) = x^3 + 11x^2 + 39x + 29.

So I think that I might need to use synthetic division, but I'm not sure. The teacher didn't explian this to me. Any help?

:) - Sep 17th 2009, 08:03 AMmathaddict
- Sep 17th 2009, 04:18 PMpacman
[I]factor: x^3 + 11x^2 + 39x + 29 = (x + 1)(x^2 + 10x + 29) = (x + 1)(x + (5 - 2i))(x + (5 + 2i))