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.
Area of a Circle: The area of a circle is the amount of space the circle takes up. To compute the area of a circle, we use the formula a=πr^2 where r is the radius of the circle.
Radius: The radius of a circle is the distance from the center of the circle to any point on the circle.
Answer: Its the one.
Step-by-step explanation:
Your going to subtract 2 from each sides making the equation, -5 is less than or equal to 25, then your gonna divide -5 by 25, which will give you -5, and then the sign will switch to greater than or equal to because you divided by a negative number. The dot on the number line will be solid because the sign is greater than or equal to. You're welcome :)
Answer:x=-5 and x=3
Step-by-step explanation:
(X+5)(x-3)=0
X+5=0 or x-3=0
X=-5 or x=3
The equation is given as

<h3>The Amplitude </h3>
The Amplitude can be calculated as

<h3>The Vertical Shift</h3>
The vertical shift is the average difference between the maximum and minimum.

For b value
The Time Period will be twice the distance between max and min.

<h3>The Period</h3>
The period is calculated as

The equation is given as

Learn more on time period and amplitude here;
brainly.com/question/15531840