1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kisachek [45]
3 years ago
5

One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for

this function? A. f(x) has two real roots and one complex root.
B. f(x) has two complex roots and one real root.
C. f(x) has three complex roots.
D. f(x) has three real roots.
Mathematics
2 answers:
kondaur [170]3 years ago
7 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

One root of a third degree polynomial function is -5+2i

As we know that every complex root comes with its conjugate root meaning they always come in pairs

So, another complex root will be -5-2i

So, remaining one root which must be real root because if it was complex it would come with its pair i.e. conjugate , then total it makes 4 roots which can't possible for three degree polynomial.

So, there must be 2 complex roots and one real root.

Hence, Option 'B' is correct.

zheka24 [161]3 years ago
3 0
Given the root of -5+2i, we are asked to describe the best statement that describes the polynomial. The root  -5+2i cannot exist without its conjugate root, -5-2i. Complex roots are always accompanied by at least 1 real root. Since there are only 3 roots, there should be one root only, hence the answer is B.<span>
</span>
You might be interested in
Two standard number cubes (i.e., dice) each with faces numbered 1-6 are rolled. What is the probability that the product of the
xeze [42]
16= 4*4
you need to roll two 4s out of presumably 36 possibilities so 2/36 since you need one 4 and a second 4. check the total possibilities tho
3 0
3 years ago
*MAKE SURE YOU ANSWER CORRECTLY WITH DETAILS, WILL CHOOSE BRAINLIEST * Describe a hemisphere of this picture and explain how it
SVEN [57.7K]

Answer:

Volume of the hemisphere = \frac{2}{3}\pi r^{3}

Step-by-step explanation:

It's a picture of a globe and a globe of the Earth is in the shape of a sphere.

We know equator divides the earth into two equal halves and these equal halves are called as "hemisphere".

Therefore, a line joining the two extreme points of the diameter of the Earth divides the Earth into two hemispheres.

If the radius of the Earth is 'r',

Volume of the hemisphere = \frac{2}{3}\pi r^{3}

6 0
3 years ago
Can someone help me out rq pls? Much would be appreciated.
stich3 [128]
I think your answer is B. -1/2

Explanation: the rise is -4 and the run is 8. If u divide those by 2, you get -2 and 4. You divide that by half and get -1/2??
8 0
2 years ago
Which undefined term can contain parallel lines?<br> O line<br> O plane<br> o point<br> O ray
lapo4ka [179]

Answer:

should be a plane.

a plane is two dimensional and has intimate length and width. so it contains infinite lines.

4 0
2 years ago
John bought an old motor bike for $ 5675 and spent $ 453 on its repair. Then he sold it in $ 7265, find out the profit he made.​
drek231 [11]

Answer:

1137

Step-by-step explanation:

5675+453

6128

Now

7265-6128

1137

4 0
2 years ago
Other questions:
  • Translate the sentence into an equation. The sum of 2 times a number and 3 equals 4 .
    10·2 answers
  • A class is divided into 4 groups. A bag contains pieces of paper that are red, blue, green, and yellow. For every blue- or green
    8·1 answer
  • 50 POINTS I NEED HELP!!!!!! I will mark the brainliest!!!
    14·1 answer
  • Evaluate the following expression: (7+5b)+1 , if b = 3
    13·1 answer
  • A wooden board is 100 cm long is cut into two pieces. One piece is 16 cm longer than the other. What are the lengths of the othe
    12·1 answer
  • You put $250 in an account that earns 4% interest per year. What is the balance of the account after 5 years?
    9·1 answer
  • The sum of three consecutive whole numbers can be divided exactly by 3 give two examples to show this statement is true
    14·1 answer
  • If two sides of a triangle measure 123 inches and 150 inches, which of the following can NOT be the length of the third side of
    8·1 answer
  • PLEASE HELP ME<br> Simplify the expression 2/ square root of 7.
    15·1 answer
  • Zachary buys a new car. The original price of the car is $29,100. The price of the car is then reduced by 15% because of a holid
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!