Posted by **allison--Please help!!** on Thursday, December 27, 2012 at 7:01pm.

Find the complex zeros of the polynomial function. Write f in factored form.

f(x)=3x^4-10x^3-12x^2+122x-39

Please show wrok, I do not understand how to do this.

- calculus -
**Steve**, Thursday, December 27, 2012 at 11:44pm
The 39 and 3 tempt me to try roots like 1,3,1/3. Go for the low-hanging fruit first

use synthetic division to find that

f(-3)=0, so

f(x) = (x+3)(3x^3-19x^2+45x-13)

f(1/3) = 0, so

f(x) = (x+3)(3x-1)(x^2-6x+13)

there are no more real roots

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