Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)
One of them is real and the other two are complex conjugate roots
Since the real root is 4, then
x = 4
Since the complex root is (1 - i), then
The other root will be the conjugate of it (1 + i)
x = (1 - i)
x = (1 + i)
To find f(x) we will multiply the three factors of it
We can get the factors from the zeroes
Subtract 4 from both sides
The first factor is (x - 4)
The second factor is (x - 1 + i)
The third factor is (x - 1 - i)
We will multiply them to find f(x)
Multiply it by (x - 4)
The answer is
Answer:
The probability of the spinner landing on 2 is one fourth.
Step-by-step explanation:
The spinner is split into 4 equal parts labeled 1, 2, 3, 4
The probability of the spinner landing on 2 is given as:
(Possibility of it landing on 2) ÷ (Total possible outcome)
The total possible outcome is 4, because the spinner could land on 1, or 2, or 3, or 4.
It can only land on 2 once, so the possibility of it landing on 2 is 1.
Probability = 1/4
Answer:
D
Step-by-step explanation:
A single die is consists of 6 sides. The sides consists of one to six dots. Therefore, tossing a single die will have 6 equal probabilities. That is, one to six dots.
(A) There are 3 numbers from 1 to 6 that are less than 4. Those are 1, 2, and 3. So, there are 3 possible outcomes. So, the probability of the event A happening is equal to 3/6 or 1/2.
(B) There are 2 numbers less than or equal to 2. Those are 1 and 2, itself. The probability of this event happening is 2/6 or 1/3.
(C) There are 3 numbers from 1 to 6 that are greater than 3. Those numbers are 4, 5, and 6. The probability of this event is equal to 3/6 or 1/2.
