Use the equation of the polynomial function and the graph provided in the applet below. 

Watch Mr. McLogan find the zeros of the cubic polynomial using synthetic division. [br][br]An alternative method is to multiply the factors [math]\left(x+5i\right)\left(x-5i\right)[/math] to get a quadratic expression and then use long division to extract both roots at the same time. 

Watch Theschoolofchuck's video below until time 4:00 with the volume muted. 

"More precisely, the Mandelbrot set is the set of values of [i]c[/i] in the[url=https://en.wikipedia.org/wiki/Complex_plane]complex plane[/url] for which the [url=https://en.wikipedia.org/wiki/Orbit_(dynamics)]orbit[/url] of 0 under [url=https://en.wikipedia.org/wiki/Iterated_function]iteration[/url] of the [url=https://en.wikipedia.org/wiki/Complex_quadratic_polynomial]complex quadratic polynomial[/url][br]remains [url=https://en.wikipedia.org/wiki/Bounded_sequence]bounded[/url].[sup][url=https://en.wikipedia.org/wiki/Mandelbrot_set#cite_note-1][1][/url]"  [color=#0000ff][url=https://en.wikipedia.org/wiki/Mandelbrot_set]Read more on Wikipedia![/url][/color][br][br][/sup]This graph uses a recursive formula  [math]z_{n+1}=z_n^2+c[/math] to generate the points of the graph. It says, to find a point, square the previous point and add on the complex number, [i]c[/i].[br][br]Explore the applet by moving point c (now at the origin). As discussed in the video above, this is not on an (x, y) real number coordinate plane but instead on a (real, complex) coordinate plane.