Question

What are the roots of the polynomial equation x^3-6x=3x^2-8? Use a graphing calculator and a system of equations.

–40, –4,

5 –5, 4,

40 –4, –1,

2 –2, 1, 4

Answer 1

D.) -2, 1, 4 <3

Explanation:

This is correct for edge, just took the quiz :)

Answer 2

Given the polynomial equation x^3 -6x = 3x^2 – 8. Which can be simplified into (x^3) -3(x^2) -6x +8 = 0. The roots of the given equation are x = -2, x = 1 and x = 4. The order  of equation also represents the number of roots of the equation given. Since the highest exponent is 3, there also 3 roots. So the answer is D. 2 –2, 1, 4