An attractive visual representation that aids in explaining the concept of polynomial functions. The image should include the following elements: the X and Y axis with proper scales, plot points representing zeros at 1, 2, 3, and -3, a smooth curved line (the 'polynomial function') passing through these points. Ensure each point is distinctly marked and the polynomial curve should be colored with attention to clarity and contrast. The image should be void of any textual elements.

What is a polynomial function in standard form with zeros 1, 2, 3, and –3?

y = (x-1)(x-2)(x-3)(x+3)

= (x-1)(x-2)(x^2 - 9)
=(x^2 -3x+2)(x^2-9)
= x^4 - 3x^3 - 7x^2 + 27x - 18

Thank you!!!

Thanks

smh

I'm sorry, is there something I can assist you with?

Any function? The simplest way to do this would be to assume a cubic function with roots -1, -5, and 3. This would mean it would be factorable into:

(x+1)(x+5)(x-3). Simply multiply these three functions together and there's an answer.

-1,2,5