<h2>
Hello!</h2>
The answer is: C) ![x^{3}+2x^{2}-3x-6](https://tex.z-dn.net/?f=x%5E%7B3%7D%2B2x%5E%7B2%7D-3x-6)
<h2>
Why?</h2>
Factoring we have:
![x^{3}+2x^{2}-3x-6=(x^{2})(x+2)-3(x+2)\\(x^{2})(x+2)-3(x+2)=(x+2)(x^{2}-3)\\(x+2)(x+\sqrt{3})(x-\sqrt{3})=0](https://tex.z-dn.net/?f=x%5E%7B3%7D%2B2x%5E%7B2%7D-3x-6%3D%28x%5E%7B2%7D%29%28x%2B2%29-3%28x%2B2%29%5C%5C%28x%5E%7B2%7D%29%28x%2B2%29-3%28x%2B2%29%3D%28x%2B2%29%28x%5E%7B2%7D-3%29%5C%5C%28x%2B2%29%28x%2B%5Csqrt%7B3%7D%29%28x-%5Csqrt%7B3%7D%29%3D0)
So,
![x_{1}=-2\\x_{2}=-\sqrt{3}\\x_{3}=\sqrt{3}](https://tex.z-dn.net/?f=x_%7B1%7D%3D-2%5C%5Cx_%7B2%7D%3D-%5Csqrt%7B3%7D%5C%5Cx_%7B3%7D%3D%5Csqrt%7B3%7D)
Let's substitute the roots into the equation,
Substituting: -2
![(-2+2)(x+\sqrt{3})(x-\sqrt{3})=(0)(x+\sqrt{3})(x-\sqrt{3})=0](https://tex.z-dn.net/?f=%28-2%2B2%29%28x%2B%5Csqrt%7B3%7D%29%28x-%5Csqrt%7B3%7D%29%3D%280%29%28x%2B%5Csqrt%7B3%7D%29%28x-%5Csqrt%7B3%7D%29%3D0)
Substituting: ![-\sqrt{3}](https://tex.z-dn.net/?f=-%5Csqrt%7B3%7D)
![(x+2)*(-\sqrt{3}+\sqrt{3})*(x-\sqrt{3})=(x+2)*(0)*(x-\sqrt{3})=0](https://tex.z-dn.net/?f=%28x%2B2%29%2A%28-%5Csqrt%7B3%7D%2B%5Csqrt%7B3%7D%29%2A%28x-%5Csqrt%7B3%7D%29%3D%28x%2B2%29%2A%280%29%2A%28x-%5Csqrt%7B3%7D%29%3D0)
Substituting: ![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
![(x+2)*(x+\sqrt{3})*(\sqrt{3}-\sqrt{3})=(x+2)*(x+\sqrt{3})*(0)=0](https://tex.z-dn.net/?f=%28x%2B2%29%2A%28x%2B%5Csqrt%7B3%7D%29%2A%28%5Csqrt%7B3%7D-%5Csqrt%7B3%7D%29%3D%28x%2B2%29%2A%28x%2B%5Csqrt%7B3%7D%29%2A%280%29%3D0)
Have a nice day!
Step-by-step explanation:
to round 4.645 to the nearest whole number consider the tenths’ value of 4.645, which is 6 and equal or more than 5. Therefore, we have to round up: the whole number part of 4.645, 4, increases by 1 to 5, and the decimal point and all digits (.645) are removed.
4.645 rounded to the nearest whole number = 5
Answer:
The formula for circumference: 2rpi
PB = r = 29m
The circumference of circle P is:
2(29)pi
=58pi
Answer:
Step-by-step explanation:
<u>Use the two points from the graph:</u>
a) <u>Change in y is:</u>
b) <u>Change in x is:</u>
c) <u>Slope is:</u>
- Change in y / change in x = 5/6