Answer:
![k = -4](https://tex.z-dn.net/?f=k%20%3D%20-4)
Explanation:
Given
![P(x) = (3x^2 - 5)(x + k) - 20](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%283x%5E2%20-%205%29%28x%20%2B%20k%29%20-%2020)
x is a factor
Required
Solve for k
x is a factor means that the polynomial can be divided successfully by x.
In other words, x is a zero of the polynomial.
i.e.
and ![P(x) = 0](https://tex.z-dn.net/?f=P%28x%29%20%3D%200)
Substitute 0 for x in P(x)
![P(x) = (3x^2 - 5)(x + k) - 20](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%283x%5E2%20-%205%29%28x%20%2B%20k%29%20-%2020)
![P(x) = (3*0^2 - 5)(0 + k) - 20](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%283%2A0%5E2%20-%205%29%280%20%2B%20k%29%20-%2020)
![P(x) = (0- 5)(k) - 20](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%280-%205%29%28k%29%20-%2020)
![P(x) = (-5)(k) - 20](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%28-5%29%28k%29%20-%2020)
![P(x) = -5k - 20](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-5k%20-%2020)
Substitute 0 for P(x)
![0 = -5k - 20](https://tex.z-dn.net/?f=0%20%3D%20-5k%20-%2020)
Collect Like Terms
![5k = - 20](https://tex.z-dn.net/?f=5k%20%3D%20-%2020)
Divide both sides by 5
![k = -4](https://tex.z-dn.net/?f=k%20%3D%20-4)
Pooop+pooooop= you
Muhahahaha
Answer:
-2 and -12
Explanation:
A dilation is a transformation of a geometric image that is known to change its size not it shape.
The size of the figure basically depends on the scale factor (k).
When k >1 then there would be expansion.
When k <1 then there would be contraction.
When k=1 then no change in size
I.e for conraction the scale factor (k) must be negative
from the given options, the scale factor produce a contraction under a dilation of the original image would be -2 and -12
<h3 /><h3>Hence the correct answers are:-2 and -12 </h3>
Hope I helped
Answer:
m >/= 50
Explanation:
There are 550 seats in the parliament, 2/3 of the majority would be 363 people, because you want 2 out of 3 of the majority, one way is to divide 550 into 3 parts(181) and then multiplying my two to get two parts out of 3. Since there are already 313 members who have pledged to support a particular constitutional change, then you would need at least 50 more members to approve; 363-313.