Answer: All of the operations that you have listed will produce a polynomial. Therefore, they are all closed for polynomials. (Did you have a typo?)
When we say an operation is closed for a particular problem, we mean that the resulting answer is of the same type as at the beginning.
In these cases, we are starting with polynomials in each problem. After performing the operations, we still have polynomials. Therefore, they are all closed.
Answer:
17.2
Step-by-step explanation:
8 to the power of 2 is 64
19 to the power of 2 is 361
361 - 64 is 297
Square root of 297 is 17.2
Answer: 4b(b-2)
Step-by-step explanation: The terms 4b^2 and -8b have two things in common: they are multiples of 4 and both have at least one b. Therefore, you can pull it out of the polynomial. This would give you 4b(b-2).
Answer:
upper left
Step-by-step explanation:
The generic equation for a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
Comparing that equation to the one you have, you can see that ...
-h = 0
-k = +3
r^2 = 9
Then you have (h, k) = (0, -3) and a radius of 3.
The circle has its center on the y-axis 3 units below the x-axis and just touches the x-axis. This is a description of the graph at upper left.
The answer of square root of -121 is 11