Question

What is the completely factored form of f(x)=x^3+4x^2+7x+6?
f(x)=(x+2)(x−(−3+i10−−√))(x−(−3−i10−−√))
f(x)=(x+2)(x−(−1+i2√))(x−(−1−i2√))
f(x)=(x−2)(x−(−1+i2√))(x−(−1−i2√))
f(x)=(x−2)(x−(−3+i10−−√))(x−(−3−i10−−√))

Answer 1

Answer. Second option: f(x)=(x+2)(x−(−1+i2√))(x−(−1−i2√))

Please, see the attached file.

Thanks.

Answer 2

I can confirm the answer is indeed:

"f(x)=(x+2)(x−(−1+i2√))(x−(−1−i2√))"

Just took the quiz, and got it right. Hope I could help :)