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.
Big marbles = 45red 3/4 blue
Small marbles = 2/5 red 3/5 blue 24 more small blue mabrles than red marbles
What percentage of the marbles are big marbles
First of all lets working out the missing values:
Big Marbles, 45 red, 3/4 blue. If 45 red is 1/4, then 135 (45*3) is 3/4.
Big Marbles, 45 red, 135 blue = 180 in total
For the small marbles, we do some logical thinking:
If red is 2/5, and blue is 3/5. And blue has 24 more than red.
That means 24 = 1/5
So in total there are 120 small marbles (24*5)
There are 180 big marbles
We add these together, 120 + 180 = 300 marbles
180 / 300 = 0.6 = 60%
^ Divide the big marbles by the number of total marbles
60% of the marbles are big marbles
<u>Please vote my answer brainliest if I helped!</u>
Answer:Mark
Step-by-step explanation:Diva
Area of the shaded region = Area <span>of a square - Area of a circle
</span>
Side of a square = 2r
Area of a square = (2r)² = 4r²
Area of a circle = πr²
Area of the shaded region = 4r² - πr² = r²(4-π)
Answer: 
Step-by-step explanation:
Since, Here the smaller number = 2n - 1
Since, Numbers are consecutive.
Therefore, remaining numbers are 2n - 1 + 2 , 2n - 1 + 2 + 2
= 2n +1, 2n +3
Thus, the sum of these all numbers = 2n - 1 + 2n + 1 + 2n +3
= 
( By equating the like terms)
