What are the roots of the polynomial equation x^3-7xx=6x-12? use a graphing calculator and a system of equations.

a. -6, 6

b. -4, 1, 3

c. -3, -1, 4

d. 1, 3

The roots of the polynomial equation x^3 - 7x = 6x - 12 is 1, 3, -4 Hence option B is correct

Solution:

Given that the polynomial equation is

We are asked to find the roots of the polynomial

On solving we get,

(x-1)(x(x+1)-12)=0

(x-1)(x-3)(x+4)=0

x = 1, 3, -4  

Hence the roots of the polynomial equation x^3 - 7x = 6x - 12 is 1, 3, -4 Hence option B is correct

answer: all the values are within because it has a pattern that repeats from -6 to 4.

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step-by-step explanation: