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
OLEGan [10]
3 years ago
5

Which of the following is the complete list of roots for the polynomial function f(x) =

Mathematics
1 answer:
REY [17]3 years ago
3 0

Answer: -5, 3, 4 + 1,4-i (option 2)

Step-by-step explanation:

The roots of an equation are the x values for f(x) = 0. Therefore to find the roots of the equation, you first set the function to 0 and then solve for the values of x.

since f(x) = -(x² + 2x - 15) (x² + 8x + 17)

            0 = -(x² + 2x - 15) (x² + 8x + 17)

∴ either -x² - 2x + 15 = 0      OR     x² + 8x +17 = 0

when    -x² - 2x + 15 = 0  

             -x² - 5x + 3x + 15 = 0

            (x  - 3 ) (-x - 5) = 0

⇒ x = 3 or x = -5

when x² + 8x +17 = 0

\frac{-8 + \sqrt{(64 - 68)}}{2} = 0 OR \frac{-8 - \sqrt{(64 - 68)}}{2} = 0        (using the quadratic equation)

⇒ x = 4 + i  or x = 4 - i

∴ the complete list of roots is -5, 3, 4 + 1,4-i (option 2)

You might be interested in
Please help asap I will give you brainliest Find the area of the shaded region
kondaur [170]

Answer:

36

Step-by-step explanation:

Area of total region = 12 ×5

=60

Area of the small region = 8×3

=24

Area of shaded region = Area of Total region - area of small region

= 60 - 24

= 36

4 0
3 years ago
Write and solve the system of linear equations described by the application and then answer the question. One hundred sixty feet
Lena [83]

Answer:

80 ft x 40 ft

Step-by-step explanation:

Let 'L' be the length of the longer side and 'W' be the length of the shorter side (or the width).

The equations that compose the linear system are:

L+2W=160\\L=2W

Solving the system:

L+L=160\\L=80\\W=\frac{L}{2}\\W=40

The garden is a rectangle with dimensions 80 ft x 40 ft.

3 0
3 years ago
My friend has $729 to spend on a fence for her rectangular garden. She wants to use cedar fencing which costs $18/yard on one si
denis23 [38]

Answer:

two consecutive negative integers have a product of 110 . what are the integers?

Step-by-step explanation:

4 0
3 years ago
I need help with homework​
FromTheMoon [43]

Answer:

C

Step-by-step explanation:

Point C is on the x-axis.

6 0
2 years ago
Read 2 more answers
Find the compound interest compounded annually on rupees 2700 rate 6 ⅔% per annum and time is 2 years​
dalvyx [7]

<u>Answer:</u>

plz mark me as brainliest ...TOOK ME LONG TIME TO TYPE

answer = CI = 3108 RUPEES

<u>Step-by-step explanation:</u>

i am doing the method in which u find the simple interest of first year then second year.

SI FOR 1ST YEAR= P X R X T / 100

SI = 2700 X 20 X 2 / 3 X 100   ( RATE OF INTEREST IS 20 / 3)

SI = 108000/300

SI = 360

SI FOR SECOND YEAR =

P = 2700 + 360= 3060

SI = 3060 X 20 X 2 / 300

SI= 122400 / 300

SI = 408

COMPOUND INTEREST (CI) = PRINCIPLE + SI OF 2ND YEAR

CI = 2700 + 408

CI = 3108 RUPEES

or u can solve be the method

CI = amount - principle

Amount= principle x (change in ratio) raised to time

                                       ***************************************

6 0
3 years ago
Other questions:
  • Mountain and deserts effect plz help
    15·1 answer
  • Which statement is true about the value of StartAbsoluteValue negative 14 EndAbsoluteValue? StartAbsoluteValue negative 14 EndAb
    8·1 answer
  • Which is the best estimate of (-3/5)(17 5/6)?<br> –18<br> –9<br> 9<br> 18
    10·1 answer
  • The length of a rectangle is 3 more than twice its width. the perimeter is 48 feet
    9·2 answers
  • Think about the many statistical scores or rankings you receive in school, such as GPA, SAT and ACT scores, test scores, and cla
    5·1 answer
  • Find the slope of the line
    14·2 answers
  • Identify the form of the equation and two characteristics of the function's graph. y = –7x + 2 Group of answer choices Point-Slo
    5·1 answer
  • Can y’all help me on question 8?!
    13·2 answers
  • Pls help will give brainless to the person help picture is the question​
    11·1 answer
  • 11
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!