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]
2 years ago
5

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

Mathematics
1 answer:
REY [17]2 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
Pls <br> Help god bless you
True [87]
Jus go a thru z and you’ll be fine
8 0
3 years ago
Read 2 more answers
Prove This :<br><br>sin(A+B)+sin(A−B)=2sinA⋅cosB​
MaRussiya [10]

Answer:

We know

sin (A + B) = sin A cos B + cos A sin B

sin (A - B) = sin A cos B - cos A sin B

(A + B) + sin (A - B)

= sin A cos B + cos A sin B + sin A cos B - cos A sin B

= sin A cos B + sin A cos B

= 2 sin A cos B

3 0
3 years ago
James practiced Piano for 48 Minutes. Alisa practiced 5 times long as James. How many Minutes did Alisa Practice? how many minut
ANEK [815]

Answer:

Alisa practiced for 240 minutes (4 hours). In total, they practiced for 288 minutes (4.8 hours).

Step-by-step explanation:

If James practiced for 48, and Alisa practiced 5 times as long, then we would multiply 48 by 5 (240 minutes).

If we want to find how many minutes in total they practiced, then we would add 240 minutes (Alisa's practice time) and 48 minutes (James' practice time) together, which would equal 288 minutes (4.8 hours).

Equation: y=48+x

3 0
2 years ago
:)))) solve the following by factorizing: x^2-2x=120
stepladder [879]

Answer:

Step-by-step explanation:

x^2 - 2x = 120\\x^2 - 2x - 120 = 0

We have to find the factors of 120 that can either add up to or have a difference of 2.

The factors of 120 are:

\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...

The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:

(x+10)(x-12)

3 0
3 years ago
What is equal to 9×(8×5)​
Brut [27]

Answer:

360

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following best describes the equation below?
    11·1 answer
  • What is 815.755round to the nearest hundredth
    11·1 answer
  • Which is colder -3 -12 -8 -15
    10·1 answer
  • What are the values of X and Z.
    10·1 answer
  • Find the gradient of the line segment between the points (-2,3) and (0,2).
    13·1 answer
  • nearly seven childern are hospitalized every day from injuries caused by tempering with home electric wall outlets worth 30 poin
    15·2 answers
  • Which one would make me more money?
    5·1 answer
  • Do) 6. The height of a cylinder is 5 centimeters. The circumference of the
    7·1 answer
  • If there are 3 black t-shirts, 2 white t-shirts, and 5 green t-shirts, What is the probability of picking white?
    6·1 answer
  • What is the answer and steps to 18(2 − 1) ÷ 3 + 4
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!