explain the connection between factors of a polynomial, zeros of a polynomial function, and solutions of a polynomial equation.

Factors of a polynomial, when set equal to zero and solved, become the zeros of a polynomial. 
The zeros of a polynomial are the numbers where the y-values are 0 which means the point will lie on the x-axis. 
Zeros and solutions are the same thing. It is where the graph will cross the x-axis which means the y-value is zero.
I hope this is what you were looking for.

I’m guessing that the answer is c, but i’m not sure which grid is being talked about. since 5x5= 25 and 3x3= 9 (which there are no answers for). a is not right because while the ratio is the same, 6/25= 0.24 which is equal to 24% not 30%.