1. The polynomial p(x) = -2x3 + 6x2 + 36x - 80 has an x-intercept at x = -4. Use this polynomial to answer the questions below:
a. Use polynomial division to write the polynomial as a product of linear factors. You may use the box
method or long division.

Quadrilateral abcd in the figure below represents a scaled-down model of a walkway around a historic site. quadrilateral efgh represents the actual walkway. abcd is similar to efgh. what is the total length, in feet of the actual walkway?

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

y=2x−1 5x−4y=1 is (1,1)(1,1) a solution of the system?