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
Shkiper50 [21]
3 years ago
8

How many complex roots does the polynomial equation have? −3x4−7x+17=0

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

1) There are two complex roots. A is correct.

2) The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations. D is correct

3) There are four complex roots. B is correct.

4) C is correct.

5)

Step-by-step explanation:

1) Number of complex root.

We can not factor it completely. Because it's prime equation. We will make the graph of  and then see the x-intercept of the graph.

Because number x-intercepts are the zeros of polynomial. Please see the attachment for graph. In graph we can see it cuts only two points but their highest degree is 4. Maximum possible roots are 4 but only 2 are real and 2 are complex.  

Thus, There are two complex roots.

2) This is cubic polynomial function.

Maximum number of zeros should be 3.

Please see the graph with attachment.

Zeros is a value of x where graph cuts x-axis. In graph we can see graph cuts x-axis at three points.

Thus, The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

3) This is 4th degree polynomial.

Maximum number of zeros should be 4.

Please see the graph of polynomial.

Zeros is a value of x where graph cuts x-axis. In graph we can see doesn't cut x-axis at any points.

Thus, The function has four complex zeros. The graph of the function does not intersects the x-axis at any point.

4) We are given 3 degree polynomial. We need to factor it. First we split middle term and then factor it.

Now we factor quadratic part using quadratic formula

Complete factor of f(x)

Thus,

5) This is cubic polynomial. We need to factor it.

First we make two group and then factor it

Thus, complete factor of f(x) is (x+3)(x+4i)(x-4i)

You might be interested in
A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents heig
Pie

Answer: 2 seconds

Step-by-step explanation:

got it right

4 0
2 years ago
What is the slip of the line 4x-2y=5
Eddi Din [679]

If you mean slope.. the equation to set up is y=mx+b. Using this, and finding out the answer m=2.

Hope this helped!

4 0
3 years ago
How many times can 10 go into 44
Nitella [24]
4 times because if you count 10, 20, 30, 40, so it has to be 4
5 0
3 years ago
Read 2 more answers
What does s equal <br> 7(s + 68) = 56
AlekseyPX
The answer would be s=-60
6 0
3 years ago
Read 2 more answers
I really need help with this​
ValentinkaMS [17]

Answer:

y = -2x + 4

Step-by-step explanation:

The line intercepts at the y axis at 4. And you go to units down then one unit right to get to the next point.

6 0
3 years ago
Other questions:
  • Please answer ASAP I’ll mark brainliest
    10·1 answer
  • What is k/4+2-k=10.
    8·1 answer
  • Consider the following function. f(x) = 16 − x2/3 Find f(−64) and f(64). f(−64) = f(64) = Find all values c in (−64, 64) such th
    9·2 answers
  • Which of the following is equal to the fraction below
    5·1 answer
  • A student states that Figure JKLM is congruent to Figure PQRS. Determine if the student is correct or has made an error. ;D
    9·1 answer
  • Which statement is not true about the numbers represented by the points on the number
    8·1 answer
  • Can you find the distance from a point to a line?​
    15·2 answers
  • Choose the smallest number.<br><br> 0.03<br> 0.3003<br> O 0.009<br> 0.093<br> 1.0001
    15·2 answers
  • O put on Your Thinking Cap!
    10·1 answer
  • Work out the surface area of this cylinder.<br><br> 12 cm radius<br> 35 cm height
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!