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A polynomial of degree 14 in Mathematica is a mathematical expression with 14 terms, each containing a variable raised to a power. It can be written in the form of ax^14 + bx^13 + cx^12 + ... + nx + d, where a, b, c, ..., n, and d are coefficients and x is the variable.
To plot a polynomial of degree 14 in Mathematica, you can use the "Plot" function and specify the polynomial expression as the first argument. For example, if your polynomial is 3x^14 - 2x^13 + 5x^12, you can write "Plot[3x^14 - 2x^13 + 5x^12, {x, -10, 10}]" to plot it over the range of -10 to 10 on the x-axis.
Yes, you can change the color or style of the plot in Mathematica by using the "PlotStyle" option in the "Plot" function. For example, you can write "Plot[3x^14 - 2x^13 + 5x^12, {x, -10, 10}, PlotStyle -> Red]" to plot the polynomial in red color. You can also specify other plot styles such as dashed or dotted lines.
To add a title and labels to the plot in Mathematica, you can use the "PlotLabel" and "AxesLabel" options in the "Plot" function. For example, you can write "Plot[3x^14 - 2x^13 + 5x^12, {x, -10, 10}, PlotLabel -> "Polynomial of Degree 14", AxesLabel -> {"x-axis", "y-axis"}]" to add a title and labels to the plot.
Yes, it is possible to find the roots of a polynomial of degree 14 in Mathematica using the "Roots" function. This function will return a list of all the possible roots of the polynomial. You can also use the "NSolve" function to find numerical approximations of the roots.