You can use a system of equations to graph and solve the polynomial equation 3x^3+x=2x^2+1 which statement is true? the system has one solution, and the equation has three zeroes. the y coordinates of the solutions to the system and the zeroes of the equation are not equal. the x coordinates of the solutions to the system and the zeroes of the equation are not equal. the equation has one zero, and the system has three solutions.

Option B.

Step-by-step explanation:

The given polynomial is

Equate LHS and RHS equal to y, to get the system of equations.

The system of equations is

The given polynomial can be written as

Using graphing tool draw the graph of polynomial and system of equations.

From the below graph it is clear that the graph of polynomial intersect the x-axis once at (0.784,0). So, the equation has one zero.

The graph of  system of equations intersect each other at one point (0.784,2.229). So, the system has one solution.

The y coordinates of the solutions to the system and the zeroes of the equation are not equal.

Therefore, the correct option is B.