Answer: The required polynomial of lowest degree is 
Step-by-step explanation: We are given to find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -5i.
We know that
if x = a is a zero of a real polynomial function p(x), then (x - a) is a factor of the polynomial p(x).
So, according to the given information, (x - 2) and ( x + 5i) are the factors of the given polynomial.
Also, we know that complex zeroes occur in conjugate pairs, so 5i will also be a zero of the given polynomial.
This implies that (x - 5i) is also a factor of the given polynomial.
Therefore, the polynomial of lowest degree (three) with real coefficients having zeroes of 2 and -5i is given by
Thus, the required polynomial of lowest degree is
Answer:
the answer is 1.4809 because you count 4 numbers after the decimal place and the fifth number influences the fourth. remember, if its 4 or below you round down and if its 5 or higher you round up.
Answer:
The fox is faster, by 7 miles per hour
Step-by-step explanation:
The fox can run 21 miles in half an hour -> It can run 42 miles in an hour
And the rabbit can run 35 miles per hour, so the fox run fastest by 42-35 = 7(m/h)
What diagram can you add a picture of it ?
Answer:
16.5 hours
Step-by-step explanation:
The bicycle costs $240. Eva already has $42. She is making $12 per hour.
240 = 12x + 42
Solve for x to find out how many hours Eva needs to work to buy the bicycle.
240 = 12x + 42
240 - 42 = (12x + 42) - 42
198 = 12x
198/12 = (12x)/12
16.5 = x
Eva needs to work 16.5 hours to be able to buy the bikw.
