Answer:
Option B
Step-by-step explanation:
Complex roots occur as conjugate pairs so the third root is -3 - i ( note that the sign changes from + to -).
So in factor form we have:-
(x - 2)(x - (-3 + i))(x - (-3 - i)) = 0 Let's expand the last 2 factors first:-
(x - (-3 + i))(x - (-3 - i))
= (x + 3 - i)(x + 3 + i)
= x^2 + 3x +ix + 3x + 9 + 3i - ix - 3i - i^2
= x^2 + 6x + 9 - (-1)
= x^2 + 6x + 10
Now multiplying by (x - 2):-
(x - 2)(x^2 + 6x + 10) = 0
x^3 + 6x^2 + 10x - 2x^2 - 12x - 20 = 0
x^3 + 4x^2 - 2x - 20 = 0 (answer)
Option B
Hello!
You solve this like an algebraic equation
You first distribute the 4 and 2
4x - 20 = 2x - 20 + 2x
Combine like terms
4x - 20 = 4x - 20
subtract 4x from both sides
-20 = 0x - 20
Add 20 to both sides
0 = 0
This means that there are infinite solutions to the equation.
Hope this helps!
Is there any way you could provide more information, a picture or something could be really helpful.
Answer: 70% or .7
Step-by-step explanation: there are 10 people total who have a brother and 7 of those people have a sister so 7/10=.7
Answer: Third option is correct.
Step-by-step explanation:
Statistical questions are those in which we get more than one numerical answer.
According to options,
In option 'A' how many theatres are there in my city, we get only one numerical value instead of collection of data.
In option 'B' how many students like classic movies in my class , in which we get only one numerical value.
In option 'C' how many movies do the students in my class watch in a month.
In this option we would get a collection of data i.e. more than one numerical value.
Because not every student watch same number of movies in a month.
In option 'D' again we get only one numerical value.
Hence, Third option is correct.
