How are the zeros of a polynomial function used to create a graph? what key graphical features are obtained from a polynomial function?

The zeroes are used to plot the points at y = 0

the midpoint between the zeroes gives the x value for the vertex, where the y value can either be calculated or sketched.

a parabola makes a concave curve up or down and is usually used to determine when an object hits the ground when thrown in an arc.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5