Arectangle with positive area has length represented by the expression 3x^2 + 5x − 8 and width by
2x^2 + 6x. write expressions in terms of x for the perimeter and area of the rectangle. give your
answers in standard polynomial form and show your work.
a. perimeter:
b. area:
c. are both your answers polynomials? explain why or why not for each.
d. is it possible for the perimeter of the rectangle to be 16 units? if so, what value(s) of x will work?
use mathematical reasoning to explain how you know you are correct.
e. for what value(s) of the domain will the area equal zero?
f. the problem states that the area of the rectangle is positive. find and check two positive domain
values that produce a positive area.
g. is it possible that negative domain values could produce a positive function value (area)? explain
why or why not in the context of the problem.