I believe the answer is A
Answer:
The factors of the polynomial: (b⁴ - 2)(b² - 3)
Step-by-step explanation:
The given polynomial is: ![$ \textbf{b}^{\textbf{6}} \textbf{-3b}^{\textbf{4}} \textbf{-2b}^{\textbf{2}} \textbf{+ 6} $](https://tex.z-dn.net/?f=%24%20%5Ctextbf%7Bb%7D%5E%7B%5Ctextbf%7B6%7D%7D%20%5Ctextbf%7B-3b%7D%5E%7B%5Ctextbf%7B4%7D%7D%20%5Ctextbf%7B-2b%7D%5E%7B%5Ctextbf%7B2%7D%7D%20%5Ctextbf%7B%2B%206%7D%20%24)
We can factor the given polynomial by grouping.
We get: ![$ \{ b^6 - 3b^4\} + \{2b^2 + 6\} $](https://tex.z-dn.net/?f=%24%20%5C%7B%20b%5E6%20-%203b%5E4%5C%7D%20%2B%20%5C%7B2b%5E2%20%2B%206%5C%7D%20%24)
![$ = b^4 (b^2 - 3) -2(b^2 - 3) $](https://tex.z-dn.net/?f=%24%20%3D%20b%5E4%20%28b%5E2%20-%203%29%20-2%28b%5E2%20-%203%29%20%24)
Taking (b² - 3) common outside, we get:
![$ = \{b^2 - 3\} \{b^4 - 2\} $](https://tex.z-dn.net/?f=%24%20%3D%20%5C%7Bb%5E2%20-%203%5C%7D%20%5C%7Bb%5E4%20-%202%5C%7D%20%24)
Hence the polynomial
can be factored as
.
Hence, the answer.
Answer:
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)(pi)r^3.
Here, with r = 3 in, the volume is
V = (4/3)(3.14)(3 in)^2, or V = 36(pi)(27 in)^3 = 36pi in^3
Answer: (0, -3)
Step-by-step explanation:
Add both equations to eliminate x
6x-4y=12
+ -6x+y=-3
-----------------
-3y = 9
y = -3
Substitute y=-3 into the second equation:
-6x=(-3)=-3
-6x=0
x = 0
Therefore, the ordered pair of solutions is (0, -3)
Answer:
Option: b is correct.
( Stocks have more risk than bonds, but offer more return).
Step-by-step explanation:
Bonds are debts while stocks are stakes of ownership in a company.
Bonds pay a fixed rate of interest, and guarantee principal payment at the end of the term, they're generally considered to be safer than stocks. That doesn't mean bonds are 100% safe.
<em>" Most investment professionals consider bonds a safe component of portfolios. They're supposed to provide the stability and certainty that stocks can't "</em>
<em>" In bond we have a fixed interest whereas in stock the rates could go much high "</em>
Hence, option b is correct. ( Stocks have more risk than bonds, but offer more return).