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
bulgar [2K]
3 years ago
12

Which of the following is the complete list of roots for the polynomial function f (x) = (x2 + 6x + 8) (x2 + 6x + 13)?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

-2, -4, -3 + 2i, -3-2i

Step-by-step explanation:

Equaling the function to zero we have:

(x ^ 2 + 6x + 8) (x ^ 2 + 6x + 13) = 0  

For the first parenthesis we have:

(x ^ 2 + 6x + 8) = 0\\(x + 4) (x + 2) = 0  

Therefore the roots are:

x = - 4\\x = - 2  

For the second parenthesis we have:

(x ^ 2 + 6x + 13) = 0  

By completing squares we have:

x ^ 2 + 6x = -13  

x ^ 2 + 6x + (\frac{6}{2}) ^ 2 = -13 + (\frac{6}{2}) ^ 2\\x ^ 2 + 6x + 9 = -13 + 9\\(x + 3) ^ 2 = - 4\\x + 3 = +/- \sqrt{-4}    

Therefore the roots are:

x = -3 + 2i\\x = -3 - 2i  

Hope this was helpful

You might be interested in
What is π⋅π⋅π⋅x⋅x⋅x⋅x+ ?
Morgarella [4.7K]

Answer:

4xπ^3

Step-by-step explanation:

6 0
3 years ago
What is the square root of: <br> 36<br> 81<br> 121 and <br> 49<br> Please answer like a six grader
harina [27]

The square root of 49 is the number, which multiplied by itself, is 49. In other words, the square of this number equals forty-nine. If you have been looking for square root of forty-nine, then you are right here, too. On this page you can also find what the parts of √49 are called, and in addition to the terminology of √49, we also have a calculator you don’t want to miss. Read on to learn everything about the sqrt 49.

this should help u answer it

6 0
3 years ago
Read 2 more answers
A bag contains five green marbles three blue marbles and two red marbles if two consecutive marbles are drawn without replacemen
iren2701 [21]

Answer:

1 / 9

Step-by-step explanation:

P(Green) = 5 / 10

P(Blue) = 3 / 10

P(Red) = 2 / 10

These are independent events as one cannot occur at the same time as the other so can multiply their probabilities together

First choice green: 5 / 10

The denominator will decrease because we arent replacing the marbles after we take one out of the bag

Second choice red: 2 / 9

So

5 / 10 x 2 / 9

10 / 90 = 1 / 9

3 0
3 years ago
Read 2 more answers
Negative 3 over 4 times negative 12
Ludmilka [50]

Answer:

9

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find 3 consecutive odd integers with a sum of 63. PLEASE HELP!!!​
mamaluj [8]

Answer:

the numbers are 20, 21 and 22

Step-by-step explanation:

x+(x+1) + (x+2) = 63

3x +3 = 63

3x = 60

x = 20

doing this for ponits

4 0
3 years ago
Read 2 more answers
Other questions:
  • Rewrite 18/14 in simplest form
    13·2 answers
  • Lf a+b=10 ,ab=21 then a^3+b^3=​
    11·2 answers
  • A point is selected at random inside the given figure.
    9·2 answers
  • Taxi Fares are normally distributed with a mean fare of $22.27 and a standard deviation of $2.20.
    8·1 answer
  • Use special right triangles to solve for the exact value of x. 4 16 9
    6·1 answer
  • 2. You plan to replace the carpeting in the room shown. What is the
    12·2 answers
  • ALGEBRA 2 please help!! I will give you points
    7·1 answer
  • Find the solutions to x2 = 20.
    12·2 answers
  • Hellohello, if you able to help me then please do. (:
    14·2 answers
  • A teacher is ordering scissors for her classroom.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!