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Help with this pre-calc problem: f(x)=12x^4-43x^3+50x^2+38x-12?
I need to find all the complex zeros (exact values) And the multiple zeros, if any.
Please, as specific as you can be in the method for solving, I'm having a hard time understanding these problems.
2 Answers
- 9 years agoFavorite Answer
Rational Roots Theorem.
Gives the two roots -2/3, 1/4
Factor them out and youre left with a quadratic.
- FredLv 79 years ago
My suggestion is this. The fundamental thrm of Algebra says a 4th degree has 4 roots. Since all the coefficients are real, any complex roots will occur in conjugate pairs(eg form a+bi and a-bi). What I would do is graph this eqn. Any REAL roots will cross the x axis. So graph the eqn, find the real roots and then divide them out. That will leave you with the complex roots. Cake :)
