Use complete sentences to explain how to use linear factors to determine the equation of a polynomial function
2 answers:
Answer with Step-by-step explanation:
First we find the degree of polynomial.
Consider two linear factors
(x-a) and (x-b)
Multiplying these two factors to get the polynomial.
There are two linear factors .
Therefore, the degree of polynomial is 2 and the polynomial is quadratic.
Degree of polynomial=Number of linear factors
If the linear factors are three then the polynomial formed by multiplying theses factors .
Then, we get the polynomial of degree 3 and the polynomial is cubic polynomial.
It we have four linear factors.
After multiplying these four factors, we get a polynomial of degree 4.
The polynomial is bi quadratic.
You might be interested in
Answer:
(a) 4/9
(b) 19/27
Step-by-step explanation:
The probability of each die turning up red or not turning red are:
(a). Exactly one face up is red.
The odds of only the first die being red are:
The same odds are valid for only the second or only the third die being red. Therefore, the probability that exactly one die turns up red is:
(b). At least one face up is red.
The probability that at least one die turns up red is the sum of the probabilities of exactly one (found in the previous item), two or all dice turning up red.
Following the same logic as in the previous item, the probability that exactly two dice turn up red is:
The probability that all die turn up red is:
Thus, the probability that at least one die turns up red is: