For the coefficients to be rational, any complex roots must occur in conjugate pairs. So if
is a root, then so must be
.
Now such a third degree polynomial might be
The only variation to this would be multiplying throughout by some non-zero constant. This doesn't change the roots.
I'm gonna have you solve it for yourself ok?
But I'm going to give you the formulas and what I got.
Distance formula is this pic and you're gonna have to use this on lines AB, BC, CD, and DA.
I got 10.8
The length would be 14.
because 4 less than 3 times the width and the perimeter being 40 you would divide 40 by 2 and you get 20.
4 less than 20 would be 16 but that would make the length equal to the width, therefore, your answer is 14.
12 because 6 is 2 more than 4 which means you would have to add everything by themselves so 2 would be 4 3 would be 6 and 6 would be 12
C=2π√150 ft
Or, C≈76.95 ft
Comment if you want to see how I did this.
