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
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
