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

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Mathematics

Teddy

7 December, 15:51

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

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Millie · Answer 1

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.