The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.
In fact, if you use complex number, then a polynomial with degree n has exactly n roots.
So, in particular, a third-degree polynomial can have at most 3 roots.
In fact, in general, if the polynomial has solutions , then you can factor it as
So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as
But this is a fourth-degree polynomial.
A right triangle has the 3/4/5 rule, which is pythagorean theorum.
A^2 (A squared) + B^2 (B squared) = C^2 (C squared).
You can test this.
Let's try the first option, A.
3^2 (A) + 4^2 (B) = 5^2 (C).
3^2 = 9, B^2 = 16, C^2 = 25.
9 + 16 = 25.
A.) is the correct answer.
The volume is 300 inches cubed, first I split the figure into three, the volume=L×W×H, for the first box I did 4×4×5=80, the second box I did 6×6×5=180, the third box I did 2×4×5=40, therefore 80+180+40=300
therefore the answer being 300 inches cubed
6.666666666666666666666666666666