What does the fundamental theorem of algebra illustrate?

see below

Step-by-step explanation:

The "fundamental theorem of algebra" tells you the number of roots of a polynomial is equal to its degree. This includes real and complex roots and counts repeated roots the number of times they are repeated. (Real numbers are a subset of Complex numbers, so the choice of "complex" for this problem is appropriate.)

_____

The given quadratic can be solved using the quadratic formula:

for ax²+bx+c=0, the solutions are

... x = (-b±√(b²-4ac))/(2a)

Here, a=2, b=-4, c=-1, so ...

... x = (4 ±√(16 -4·2·(-1)))/(2·2)

... x = (2±√6)/2

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk