What is a simple definition of remainder theorem and factor theorem? my textbook and teacher's definition are both confusing me.

In each bouquet of flowers, there are 2 roses and 3 white carnations. complete the table to find how many roses and carnations there are in 2 bouquets of flowers.

Find the center and the radius of the circle with the equation: x^2-2x+y^2+4y+1=0?

In order for the function to be linear, what must m be and why? m = 22 because the rate of change is 1. m = 20 because the rate of change is 3. m = 22 because the rate of change is -1. m = 20 because the rate of change is -3.