Answer:
f(x) =
is the required polynomial.
Step-by-step explanation:
Given the zeroes (roots) of the polynomial are
and
.
We know that complex roots occur in conjugate pairs.
So, this means that
and
would also be the roots of the polynomial.
If
are to be the roots of the polynomial then the polynomial should have been:
.
Now, to determine the polynomial for which
would be the roots.
Roots of the polynomial are nothing but the values of x (any variable) that would make the polynomial zero.
⇒ 
⇒ 
The required polynomial would be the product of all the above polynomials.

Multiply this to get the required equation.
⇒

∴ The required polynomial is x⁴ - 2x³ + 49x² - 18x + 360 = 0.
Answer:
The probability that a manufactured ball will be rejected is 0.99, to two decimal places.
Step-by-step explanation:
The mean weight is 16 Ibs. The standard deviation of the weights of all manufactured balls from the mean weight is 25. The distribution is normal. With a standard deviation this large, it is already obvious that there is a high probability of producing or having rejected balls. The weights of the balls produced here ranges from (16-25)Ibs to (16+25)Ibs.
That's -9Ibs to 41Ibs.
The minimum permissible weight is 15.68. Any ball with a lesser weight gets kicked out!
So the distance or difference between this figure and the mean is (16-15.68) = 0.32
So the probability of obtaining less than 15.68Ibs or the probability of having balls between the lower boundary of -9Ibs and 15.68 is:
25-0.32 = 24.68
24.68 ÷ 25 = 0.9872 ~ 0.99 to two decimal places.
Answer: I say the answer is 20 years old, 30 years old
Step-by-step explanation: If rachel is 10 years old than her sister in six years from now, the sum of their ages will be 40. So rachel is 10 years older than her sister so the younger sister has to be 20 years old and and rachel is 30 years old.
Answer:
answer to 3 is
Step-by-step explanation:
1 hour = 0.7
2 hours = 1.4
3 hours = 2.1
4 hours = 2.8
5 hours = 3.5
6 hours = 4.2
7 hours = 4.9
8 hours= 5.6
9 hours= 6.3
10 hours= 7.0
11 hours = 7.7
12 hours =8.4