Find all roots x^3 + 7x^2 + 12x = 0
1 answer:
Answer:
Therefore the THREE roots are
Step-by-step explanation:
Given:
To Find:
All the Roots = ?
Solution:
As the degree of the polynomial is THREE then the number of root are also THREE.
Now one root is Zero For other we need to Factorize
So by Splitting the middle term
i.e Factor of 12 such that sum should be 7
i.e 3 × 4 = 12 and 3 + 4 = 7
∴
Therefore the THREE roots are
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The formula for a binomial probability function is the one that is attached to the image.
Where:
n = number of trials.
x = number of successes from which you want to know the probability.
p = probability of obtaining success.
In this case, success is defined as obtaining a result of type a.
We look for the probability of obtaining 4 results of type a.
So:
n = 10.
x = 4.
p = 0.70.
In this way:
P (x = 4) = 0.0368.
If we now look for the probability of obtaining 5 results of type b.
So:
n = 10.
x = 5.
p = 0.20.
P (x = 5) = 0.0264.
Finally, the probability of obtaining 1 result of type c.
n = 10.
x = 1.
p = 0.1.
P (x = 1) = 0.387.
Finally, the probability of obtaining 4 results of type a, 5 of type b and 1 of type c is:
P (4a + 5b + 1c) = 0.0368 * 0.0264 * 0.387.
P = 0.0376%
Where:
n = number of trials.
x = number of successes from which you want to know the probability.
p = probability of obtaining success.
In this case, success is defined as obtaining a result of type a.
We look for the probability of obtaining 4 results of type a.
So:
n = 10.
x = 4.
p = 0.70.
In this way:
P (x = 4) = 0.0368.
If we now look for the probability of obtaining 5 results of type b.
So:
n = 10.
x = 5.
p = 0.20.
P (x = 5) = 0.0264.
Finally, the probability of obtaining 1 result of type c.
n = 10.
x = 1.
p = 0.1.
P (x = 1) = 0.387.
Finally, the probability of obtaining 4 results of type a, 5 of type b and 1 of type c is:
P (4a + 5b + 1c) = 0.0368 * 0.0264 * 0.387.
P = 0.0376%