So you have your polynomial. To factor this out, you need to find the factors of -45 that will add up to 3. These two factors would be -5 and 8. So, you have factored your polynomial! (x-5)(x+8). If you are still unsure, simply use the FOIL method to check and see if you get the same polynomial back. Hope this helps!
<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by
![r=\frac{d}{2}=\frac{12.6}{2}=6.3](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D%3D%5Cfrac%7B12.6%7D%7B2%7D%3D6.3)
We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,
![V=\frac{2}{3} \pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20r%5E3)
Substituting the values, r = 6.3 and π = 3.14, we have;
![V=\frac{2}{3} (3.14)(6.3)^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%7D%7B3%7D%20%283.14%29%286.3%29%5E3)
Simplifying the values, we have;
![V=\frac{2}{3} (3.14)(250.047)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%7D%7B3%7D%20%283.14%29%28250.047%29)
![V=\frac{1570.29516}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1570.29516%7D%7B3%7D)
Dividing, we have;
![V=523.43172](https://tex.z-dn.net/?f=V%3D523.43172)
Rounding off to the nearest tenth, we get;
![V=523.4](https://tex.z-dn.net/?f=V%3D523.4)
Thus, the volume of the hemisphere is 523.5 cm³
3+5=8
8^2 is 8×8 which equals 64.
The square of the sum of 3 and 5 equals 64.