Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).
Now we need to find about which of the given statements describes the number and nature of all roots for this function.
We know that imaginary roots always occur in conjugate pairs.
So if (4+i) is root then (4-i) must also be the root.
So now we have total 4 roots
-2, 2, (4+i) and (4-i).
Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs
So that means 5th root is real.
Hence correct choice is :
f(x) has three real roots and two imaginary roots.
Answer:
C+3
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
First, multiply
-12*2+8*2/-5-(-7)
= -8/-5-(-7)
Second do -5-(-7)
= -8/2
= -4
First you want to reduce the brackets
Next you want to factor out the common number 3
Next you want to factor 20 + x^3 + 11x - 8x^2 by using the polynomial division method/technique
Lastly you just factor x^2 - 9x + 20 to get the answer.
Yes you are correct, the solutions are 1, 4, and 5.
Answer:
D.
Step-by-step explanation:
Since we know that the odds of an events can be found by dividing the probability that an event will occur by the probability that the event will not occur.
Probability of an event not occurring can be found by subtracting probability of the event occurring from 1.
We have been given that probability of an event is 2/7.
Upon substituting our given values in above formula we will get,
Therefore, the odds of the same event are and option D is the correct choice.