What are the roots of the polynomial equation x^4 + x^2 = 4x^3 -12x +12 ? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth. a)–12 b) –2.73, 2.73 c) –1.73, 1.73 d) 12

The answer is C –1.73, 1.73

is the right answer, just took the quiz

Answer : option C

Explanation:

there will be 4 roots for the given polynomial but in graph you will see 3 points because (2,0) is repeating two times

we can see the root graphically

the points that intersect  x-axis are the roots

Here, x-axis is cut at 3 points so, these points will be the root of given polynomial.

please see the attached graph

answer: -8.2562234e+13