Question

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

Answer 1

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 2

The answer is C –1.73, 1.73

is the right answer, just took the quiz