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Goryan [66]
2 years ago
7

Write the polynomial equations with zero at -5,0 and 3i

Mathematics
1 answer:
Licemer1 [7]2 years ago
8 0
We are given that the zeroes are at
{-5, 0 , 3i}.
By the conjugate pair theorem, -3i, the conjugate of 3i, is automatically a zero for polynomials with real coefficients.

The factors of the polynomial are:
(x+5), x, (x+3i) and (x-3i)
The last two factors multiply to give a real quadratic factor of x^2+9.

Therefore the polynomial is of the form 
f(x)=ax(x+5)(x^2+9)
where a is any non-zero real constant.
You might be interested in
A puppy and kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 meters per second, while th
Gnom [1K]

It seems it should be the other way... . How soon will the puppy catch up with the kitten.

The way you have it the kitten will never catch the pup. There is already 180m between them so, the distance will only increase because the puppy runs faster than the cat.

If the puppy runs after the cat, will eventually catch up with it and can be calculated. Not the other way around.

If the pup runs after the cat, the distance between them will decrease and the pup will catch the cat.

RT = D kitten

RT = D+180 puppy

20T = D

25T = D + 180

Substitution

25T = 20T +180

5T = 180

T = 36s

7 0
3 years ago
What’s the percent of change?<br> Original: 25<br> New: 18
soldier1979 [14.2K]

28% decrease

Solution:

Calculate percentage change

from V1 = 25 to V2 = 18

(V2−V1)|V1|×100

=(18−25)|25|×100

=−725×100

=−0.28×100

=−28%change

=28%decrease

7 0
3 years ago
There were several sunny days this year before my birthday. Since my birthday, there have been 171717 more sunny days. My birthd
Lesechka [4]

Answer:

66 sunny days before birthday

Step-by-step explanation:

Total sunny days after birthday = 17

Total sunny days in year = 83

Birthday was not sunny

Total sunny days before birthday = 83 -17

                                                       = 66 sunny days

Read more on Brainly.in - https://brainly.in/question/6937259#readmore

4 0
3 years ago
A ferry is travelling at a constant speed back to the dock, as shown in the graph. Which
mario62 [17]

Answer:

c. y = -35*x + 105

Step-by-step explanation:

Lo que demos hacer es calcular los puntos cuando x = 0 y cuando x = 3, es decir el inicio y el fin del recorrido.

Cuando x es igual 0, y = 105, por lo tanto, la función sería:

y = A*x + 105

Cuando x = 3, y = 0, por lo tanto:

0 =  3*A +  105

resolvemos para A:

3*A =  -105

A = -105/3

A =  -35

Por lo tanto la función es:

y = -35*x + 105

es decir, la opción c.

7 0
3 years ago
why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller?
ehidna [41]
Any number above 1 gets greater, below 1 smaller (when above 0), while 1 itself remains the same. Negative numbers are more unpredictable.
8 0
2 years ago
Read 2 more answers
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